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Finding the Fourth Proportional to 3,920.64, 5,882.98 and 2,605.30

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Solution

The fourth proportional to 3,920.64, 5,882.98 and 2,605.30 is: 3,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.64 : 5,882.98 = 2,605.30 : x
  2. Step 2: Convert to fraction form
    3,920.64/5,882.98 = 2,605.30/x
  3. Step 3: Cross multiply
    3,920.64x = 5,882.98 × 2,605.30
  4. Step 4: Simplify right side
    3,920.64x = 15,326,944.52
  5. Step 5: Solve for x
    x = 15,326,944.52/3,920.64
  6. Step 6: Final answer
    x = 3,909.29

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