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Finding the Fourth Proportional to 5,613.66, 8,395.87 and 3,920.10

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Solution

The fourth proportional to 5,613.66, 8,395.87 and 3,920.10 is: 5,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.66 : 8,395.87 = 3,920.10 : x
  2. Step 2: Convert to fraction form
    5,613.66/8,395.87 = 3,920.10/x
  3. Step 3: Cross multiply
    5,613.66x = 8,395.87 × 3,920.10
  4. Step 4: Simplify right side
    5,613.66x = 32,912,649.99
  5. Step 5: Solve for x
    x = 32,912,649.99/5,613.66
  6. Step 6: Final answer
    x = 5,862.96

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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.