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Finding the Fourth Proportional to 4,145.92, 5,721.54 and 2,377.87

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Solution

The fourth proportional to 4,145.92, 5,721.54 and 2,377.87 is: 3,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.92 : 5,721.54 = 2,377.87 : x
  2. Step 2: Convert to fraction form
    4,145.92/5,721.54 = 2,377.87/x
  3. Step 3: Cross multiply
    4,145.92x = 5,721.54 × 2,377.87
  4. Step 4: Simplify right side
    4,145.92x = 13,605,087.28
  5. Step 5: Solve for x
    x = 13,605,087.28/4,145.92
  6. Step 6: Final answer
    x = 3,281.56

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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.