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Finding the Fourth Proportional to 4,406.43, 6,613.97 and 4,385.91

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Solution

The fourth proportional to 4,406.43, 6,613.97 and 4,385.91 is: 6,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.43 : 6,613.97 = 4,385.91 : x
  2. Step 2: Convert to fraction form
    4,406.43/6,613.97 = 4,385.91/x
  3. Step 3: Cross multiply
    4,406.43x = 6,613.97 × 4,385.91
  4. Step 4: Simplify right side
    4,406.43x = 29,008,255.23
  5. Step 5: Solve for x
    x = 29,008,255.23/4,406.43
  6. Step 6: Final answer
    x = 6,583.16

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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.