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Finding the Fourth Proportional to 5,615.86, 8,431.09 and 4,318.24

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Solution

The fourth proportional to 5,615.86, 8,431.09 and 4,318.24 is: 6,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.86 : 8,431.09 = 4,318.24 : x
  2. Step 2: Convert to fraction form
    5,615.86/8,431.09 = 4,318.24/x
  3. Step 3: Cross multiply
    5,615.86x = 8,431.09 × 4,318.24
  4. Step 4: Simplify right side
    5,615.86x = 36,407,470.08
  5. Step 5: Solve for x
    x = 36,407,470.08/5,615.86
  6. Step 6: Final answer
    x = 6,482.97

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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.