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Finding the Fourth Proportional to 3,659.68, 5,491.08 and 2,427.52

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Solution

The fourth proportional to 3,659.68, 5,491.08 and 2,427.52 is: 3,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.68 : 5,491.08 = 2,427.52 : x
  2. Step 2: Convert to fraction form
    3,659.68/5,491.08 = 2,427.52/x
  3. Step 3: Cross multiply
    3,659.68x = 5,491.08 × 2,427.52
  4. Step 4: Simplify right side
    3,659.68x = 13,329,706.52
  5. Step 5: Solve for x
    x = 13,329,706.52/3,659.68
  6. Step 6: Final answer
    x = 3,642.31

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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.