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Finding the Fourth Proportional to 3,759.06, 5,631.30 and 3,449.24

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Solution

The fourth proportional to 3,759.06, 5,631.30 and 3,449.24 is: 5,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.06 : 5,631.30 = 3,449.24 : x
  2. Step 2: Convert to fraction form
    3,759.06/5,631.30 = 3,449.24/x
  3. Step 3: Cross multiply
    3,759.06x = 5,631.30 × 3,449.24
  4. Step 4: Simplify right side
    3,759.06x = 19,423,677.06
  5. Step 5: Solve for x
    x = 19,423,677.06/3,759.06
  6. Step 6: Final answer
    x = 5,167.16

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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.