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Finding the Fourth Proportional to 3,687.68, 5,531.34 and 1,379

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Solution

The fourth proportional to 3,687.68, 5,531.34 and 1,379 is: 2,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.68 : 5,531.34 = 1,379 : x
  2. Step 2: Convert to fraction form
    3,687.68/5,531.34 = 1,379/x
  3. Step 3: Cross multiply
    3,687.68x = 5,531.34 × 1,379
  4. Step 4: Simplify right side
    3,687.68x = 7,627,717.86
  5. Step 5: Solve for x
    x = 7,627,717.86/3,687.68
  6. Step 6: Final answer
    x = 2,068.43

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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.