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Finding the Fourth Proportional to 4,932.66, 7,404.06 and 3,848.88

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Solution

The fourth proportional to 4,932.66, 7,404.06 and 3,848.88 is: 5,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.66 : 7,404.06 = 3,848.88 : x
  2. Step 2: Convert to fraction form
    4,932.66/7,404.06 = 3,848.88/x
  3. Step 3: Cross multiply
    4,932.66x = 7,404.06 × 3,848.88
  4. Step 4: Simplify right side
    4,932.66x = 28,497,338.45
  5. Step 5: Solve for x
    x = 28,497,338.45/4,932.66
  6. Step 6: Final answer
    x = 5,777.28

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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.