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Finding the Fourth Proportional to 5,635.41, 8,432.19 and 3,545.66

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Solution

The fourth proportional to 5,635.41, 8,432.19 and 3,545.66 is: 5,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.41 : 8,432.19 = 3,545.66 : x
  2. Step 2: Convert to fraction form
    5,635.41/8,432.19 = 3,545.66/x
  3. Step 3: Cross multiply
    5,635.41x = 8,432.19 × 3,545.66
  4. Step 4: Simplify right side
    5,635.41x = 29,897,636.63
  5. Step 5: Solve for x
    x = 29,897,636.63/5,635.41
  6. Step 6: Final answer
    x = 5,305.32

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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.