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Finding the Fourth Proportional to 5,414.57, 8,121.86 and 4,430.42

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Solution

The fourth proportional to 5,414.57, 8,121.86 and 4,430.42 is: 6,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.57 : 8,121.86 = 4,430.42 : x
  2. Step 2: Convert to fraction form
    5,414.57/8,121.86 = 4,430.42/x
  3. Step 3: Cross multiply
    5,414.57x = 8,121.86 × 4,430.42
  4. Step 4: Simplify right side
    5,414.57x = 35,983,188.22
  5. Step 5: Solve for x
    x = 35,983,188.22/5,414.57
  6. Step 6: Final answer
    x = 6,645.63

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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.