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Finding the Fourth Proportional to 3,766.91, 5,197.85 and 2,088.30

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Solution

The fourth proportional to 3,766.91, 5,197.85 and 2,088.30 is: 2,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.91 : 5,197.85 = 2,088.30 : x
  2. Step 2: Convert to fraction form
    3,766.91/5,197.85 = 2,088.30/x
  3. Step 3: Cross multiply
    3,766.91x = 5,197.85 × 2,088.30
  4. Step 4: Simplify right side
    3,766.91x = 10,854,689.04
  5. Step 5: Solve for x
    x = 10,854,689.04/3,766.91
  6. Step 6: Final answer
    x = 2,881.59

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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.