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Finding the Fourth Proportional to 3,687.67, 5,531.16 and 2,367.95

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Solution

The fourth proportional to 3,687.67, 5,531.16 and 2,367.95 is: 3,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.67 : 5,531.16 = 2,367.95 : x
  2. Step 2: Convert to fraction form
    3,687.67/5,531.16 = 2,367.95/x
  3. Step 3: Cross multiply
    3,687.67x = 5,531.16 × 2,367.95
  4. Step 4: Simplify right side
    3,687.67x = 13,097,510.32
  5. Step 5: Solve for x
    x = 13,097,510.32/3,687.67
  6. Step 6: Final answer
    x = 3,551.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.