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Finding the Fourth Proportional to 4,381.65, 6,033.51 and 3,747.42

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Solution

The fourth proportional to 4,381.65, 6,033.51 and 3,747.42 is: 5,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.65 : 6,033.51 = 3,747.42 : x
  2. Step 2: Convert to fraction form
    4,381.65/6,033.51 = 3,747.42/x
  3. Step 3: Cross multiply
    4,381.65x = 6,033.51 × 3,747.42
  4. Step 4: Simplify right side
    4,381.65x = 22,610,096.04
  5. Step 5: Solve for x
    x = 22,610,096.04/4,381.65
  6. Step 6: Final answer
    x = 5,160.18

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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.