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Finding the Fourth Proportional to 5,613.86, 8,410.02 and 3,141.19

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Solution

The fourth proportional to 5,613.86, 8,410.02 and 3,141.19 is: 4,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.86 : 8,410.02 = 3,141.19 : x
  2. Step 2: Convert to fraction form
    5,613.86/8,410.02 = 3,141.19/x
  3. Step 3: Cross multiply
    5,613.86x = 8,410.02 × 3,141.19
  4. Step 4: Simplify right side
    5,613.86x = 26,417,470.72
  5. Step 5: Solve for x
    x = 26,417,470.72/5,613.86
  6. Step 6: Final answer
    x = 4,705.76

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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.