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Finding the Fourth Proportional to 3,772.59, 5,206.38 and 2,447.43

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Solution

The fourth proportional to 3,772.59, 5,206.38 and 2,447.43 is: 3,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.59 : 5,206.38 = 2,447.43 : x
  2. Step 2: Convert to fraction form
    3,772.59/5,206.38 = 2,447.43/x
  3. Step 3: Cross multiply
    3,772.59x = 5,206.38 × 2,447.43
  4. Step 4: Simplify right side
    3,772.59x = 12,742,250.60
  5. Step 5: Solve for x
    x = 12,742,250.60/3,772.59
  6. Step 6: Final answer
    x = 3,377.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.