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Finding the Fourth Proportional to 4,933.80, 7,400.62 and 4,809.88

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Solution

The fourth proportional to 4,933.80, 7,400.62 and 4,809.88 is: 7,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.80 : 7,400.62 = 4,809.88 : x
  2. Step 2: Convert to fraction form
    4,933.80/7,400.62 = 4,809.88/x
  3. Step 3: Cross multiply
    4,933.80x = 7,400.62 × 4,809.88
  4. Step 4: Simplify right side
    4,933.80x = 35,596,094.13
  5. Step 5: Solve for x
    x = 35,596,094.13/4,933.80
  6. Step 6: Final answer
    x = 7,214.74

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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.