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Finding the Fourth Proportional to 5,414.25, 7,475.11 and 4,421.90

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Solution

The fourth proportional to 5,414.25, 7,475.11 and 4,421.90 is: 6,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.25 : 7,475.11 = 4,421.90 : x
  2. Step 2: Convert to fraction form
    5,414.25/7,475.11 = 4,421.90/x
  3. Step 3: Cross multiply
    5,414.25x = 7,475.11 × 4,421.90
  4. Step 4: Simplify right side
    5,414.25x = 33,054,188.91
  5. Step 5: Solve for x
    x = 33,054,188.91/5,414.25
  6. Step 6: Final answer
    x = 6,105.04

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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.