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Finding the Fourth Proportional to 5,439.35, 8,159.07 and 1,741.61

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Solution

The fourth proportional to 5,439.35, 8,159.07 and 1,741.61 is: 2,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.35 : 8,159.07 = 1,741.61 : x
  2. Step 2: Convert to fraction form
    5,439.35/8,159.07 = 1,741.61/x
  3. Step 3: Cross multiply
    5,439.35x = 8,159.07 × 1,741.61
  4. Step 4: Simplify right side
    5,439.35x = 14,209,917.90
  5. Step 5: Solve for x
    x = 14,209,917.90/5,439.35
  6. Step 6: Final answer
    x = 2,612.43

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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.