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Finding the Fourth Proportional to 5,742.80, 8,614.80 and 2,456.24

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Solution

The fourth proportional to 5,742.80, 8,614.80 and 2,456.24 is: 3,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.80 : 8,614.80 = 2,456.24 : x
  2. Step 2: Convert to fraction form
    5,742.80/8,614.80 = 2,456.24/x
  3. Step 3: Cross multiply
    5,742.80x = 8,614.80 × 2,456.24
  4. Step 4: Simplify right side
    5,742.80x = 21,160,016.35
  5. Step 5: Solve for x
    x = 21,160,016.35/5,742.80
  6. Step 6: Final answer
    x = 3,684.62

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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.