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Finding the Fourth Proportional to 5,322,005.20, 7,983,007.80 and 4,259,123.20

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Solution

The fourth proportional to 5,322,005.20, 7,983,007.80 and 4,259,123.20 is: 6,388,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322,005.20 : 7,983,007.80 = 4,259,123.20 : x
  2. Step 2: Convert to fraction form
    5,322,005.20/7,983,007.80 = 4,259,123.20/x
  3. Step 3: Cross multiply
    5,322,005.20x = 7,983,007.80 × 4,259,123.20
  4. Step 4: Simplify right side
    5,322,005.20x = 34,000,613,726,760.96
  5. Step 5: Solve for x
    x = 34,000,613,726,760.96/5,322,005.20
  6. Step 6: Final answer
    x = 6,388,684.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.