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Finding the Fourth Proportional to 4,474.12, 6,160.02 and 3,686.92

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Solution

The fourth proportional to 4,474.12, 6,160.02 and 3,686.92 is: 5,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.12 : 6,160.02 = 3,686.92 : x
  2. Step 2: Convert to fraction form
    4,474.12/6,160.02 = 3,686.92/x
  3. Step 3: Cross multiply
    4,474.12x = 6,160.02 × 3,686.92
  4. Step 4: Simplify right side
    4,474.12x = 22,711,500.94
  5. Step 5: Solve for x
    x = 22,711,500.94/4,474.12
  6. Step 6: Final answer
    x = 5,076.19

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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.