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Finding the Fourth Proportional to 3,572.59, 5,358.21 and 974.92

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Solution

The fourth proportional to 3,572.59, 5,358.21 and 974.92 is: 1,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.59 : 5,358.21 = 974.92 : x
  2. Step 2: Convert to fraction form
    3,572.59/5,358.21 = 974.92/x
  3. Step 3: Cross multiply
    3,572.59x = 5,358.21 × 974.92
  4. Step 4: Simplify right side
    3,572.59x = 5,223,826.09
  5. Step 5: Solve for x
    x = 5,223,826.09/3,572.59
  6. Step 6: Final answer
    x = 1,462.20

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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.