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Finding the Fourth Proportional to 3,744.60, 5,609.88 and 3,132.24

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Solution

The fourth proportional to 3,744.60, 5,609.88 and 3,132.24 is: 4,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.60 : 5,609.88 = 3,132.24 : x
  2. Step 2: Convert to fraction form
    3,744.60/5,609.88 = 3,132.24/x
  3. Step 3: Cross multiply
    3,744.60x = 5,609.88 × 3,132.24
  4. Step 4: Simplify right side
    3,744.60x = 17,571,490.53
  5. Step 5: Solve for x
    x = 17,571,490.53/3,744.60
  6. Step 6: Final answer
    x = 4,692.49

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1.5x scale

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.