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Finding the Fourth Proportional to 3,449.59, 5,174.39 and 2,411.61

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Solution

The fourth proportional to 3,449.59, 5,174.39 and 2,411.61 is: 3,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.59 : 5,174.39 = 2,411.61 : x
  2. Step 2: Convert to fraction form
    3,449.59/5,174.39 = 2,411.61/x
  3. Step 3: Cross multiply
    3,449.59x = 5,174.39 × 2,411.61
  4. Step 4: Simplify right side
    3,449.59x = 12,478,597.29
  5. Step 5: Solve for x
    x = 12,478,597.29/3,449.59
  6. Step 6: Final answer
    x = 3,617.41

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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.