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Finding the Fourth Proportional to 3,772.58, 5,207.49 and 2,281.77

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Solution

The fourth proportional to 3,772.58, 5,207.49 and 2,281.77 is: 3,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.58 : 5,207.49 = 2,281.77 : x
  2. Step 2: Convert to fraction form
    3,772.58/5,207.49 = 2,281.77/x
  3. Step 3: Cross multiply
    3,772.58x = 5,207.49 × 2,281.77
  4. Step 4: Simplify right side
    3,772.58x = 11,882,294.46
  5. Step 5: Solve for x
    x = 11,882,294.46/3,772.58
  6. Step 6: Final answer
    x = 3,149.65

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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.