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Finding the Fourth Proportional to 3,787.91, 5,681.53 and 2,306.75

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Solution

The fourth proportional to 3,787.91, 5,681.53 and 2,306.75 is: 3,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.91 : 5,681.53 = 2,306.75 : x
  2. Step 2: Convert to fraction form
    3,787.91/5,681.53 = 2,306.75/x
  3. Step 3: Cross multiply
    3,787.91x = 5,681.53 × 2,306.75
  4. Step 4: Simplify right side
    3,787.91x = 13,105,843.80
  5. Step 5: Solve for x
    x = 13,105,843.80/3,787.91
  6. Step 6: Final answer
    x = 3,459.92

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Why These Related Problems?

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