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Finding the Fourth Proportional to 5,729.12, 7,901.52 and 3,865.76

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Solution

The fourth proportional to 5,729.12, 7,901.52 and 3,865.76 is: 5,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.12 : 7,901.52 = 3,865.76 : x
  2. Step 2: Convert to fraction form
    5,729.12/7,901.52 = 3,865.76/x
  3. Step 3: Cross multiply
    5,729.12x = 7,901.52 × 3,865.76
  4. Step 4: Simplify right side
    5,729.12x = 30,545,379.96
  5. Step 5: Solve for x
    x = 30,545,379.96/5,729.12
  6. Step 6: Final answer
    x = 5,331.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.