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Finding the Fourth Proportional to 5,613.89, 8,414.00 and 3,970.91

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Solution

The fourth proportional to 5,613.89, 8,414.00 and 3,970.91 is: 5,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.89 : 8,414.00 = 3,970.91 : x
  2. Step 2: Convert to fraction form
    5,613.89/8,414.00 = 3,970.91/x
  3. Step 3: Cross multiply
    5,613.89x = 8,414.00 × 3,970.91
  4. Step 4: Simplify right side
    5,613.89x = 33,411,174.82
  5. Step 5: Solve for x
    x = 33,411,174.82/5,613.89
  6. Step 6: Final answer
    x = 5,951.52

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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.