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Finding the Fourth Proportional to 4,155.72, 5,734.92 and 2,292.72

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Solution

The fourth proportional to 4,155.72, 5,734.92 and 2,292.72 is: 3,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.72 : 5,734.92 = 2,292.72 : x
  2. Step 2: Convert to fraction form
    4,155.72/5,734.92 = 2,292.72/x
  3. Step 3: Cross multiply
    4,155.72x = 5,734.92 × 2,292.72
  4. Step 4: Simplify right side
    4,155.72x = 13,148,565.78
  5. Step 5: Solve for x
    x = 13,148,565.78/4,155.72
  6. Step 6: Final answer
    x = 3,163.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.