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Finding the Fourth Proportional to 5,452.46, 8,157.42 and 4,789.07

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Solution

The fourth proportional to 5,452.46, 8,157.42 and 4,789.07 is: 7,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.46 : 8,157.42 = 4,789.07 : x
  2. Step 2: Convert to fraction form
    5,452.46/8,157.42 = 4,789.07/x
  3. Step 3: Cross multiply
    5,452.46x = 8,157.42 × 4,789.07
  4. Step 4: Simplify right side
    5,452.46x = 39,066,414.61
  5. Step 5: Solve for x
    x = 39,066,414.61/5,452.46
  6. Step 6: Final answer
    x = 7,164.92

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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.