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Finding the Fourth Proportional to 3,772.59, 5,659.17 and 999.20

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Solution

The fourth proportional to 3,772.59, 5,659.17 and 999.20 is: 1,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.59 : 5,659.17 = 999.20 : x
  2. Step 2: Convert to fraction form
    3,772.59/5,659.17 = 999.20/x
  3. Step 3: Cross multiply
    3,772.59x = 5,659.17 × 999.20
  4. Step 4: Simplify right side
    3,772.59x = 5,654,614.37
  5. Step 5: Solve for x
    x = 5,654,614.37/3,772.59
  6. Step 6: Final answer
    x = 1,498.87

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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.