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Finding the Fourth Proportional to 5,707.92, 8,545.68 and 3,754.20

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Solution

The fourth proportional to 5,707.92, 8,545.68 and 3,754.20 is: 5,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.92 : 8,545.68 = 3,754.20 : x
  2. Step 2: Convert to fraction form
    5,707.92/8,545.68 = 3,754.20/x
  3. Step 3: Cross multiply
    5,707.92x = 8,545.68 × 3,754.20
  4. Step 4: Simplify right side
    5,707.92x = 32,082,191.86
  5. Step 5: Solve for x
    x = 32,082,191.86/5,707.92
  6. Step 6: Final answer
    x = 5,620.64

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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.