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Finding the Fourth Proportional to 3,337.49, 5,006.53 and 872.30

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Solution

The fourth proportional to 3,337.49, 5,006.53 and 872.30 is: 1,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.49 : 5,006.53 = 872.30 : x
  2. Step 2: Convert to fraction form
    3,337.49/5,006.53 = 872.30/x
  3. Step 3: Cross multiply
    3,337.49x = 5,006.53 × 872.30
  4. Step 4: Simplify right side
    3,337.49x = 4,367,209.73
  5. Step 5: Solve for x
    x = 4,367,209.73/3,337.49
  6. Step 6: Final answer
    x = 1,308.53

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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.