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Finding the Fourth Proportional to 5,260.24, 7,884.76 and 3,957.68

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Solution

The fourth proportional to 5,260.24, 7,884.76 and 3,957.68 is: 5,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.24 : 7,884.76 = 3,957.68 : x
  2. Step 2: Convert to fraction form
    5,260.24/7,884.76 = 3,957.68/x
  3. Step 3: Cross multiply
    5,260.24x = 7,884.76 × 3,957.68
  4. Step 4: Simplify right side
    5,260.24x = 31,205,356.96
  5. Step 5: Solve for x
    x = 31,205,356.96/5,260.24
  6. Step 6: Final answer
    x = 5,932.31

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