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Finding the Fourth Proportional to 3,502.72, 4,825.17 and 2,942.80

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Solution

The fourth proportional to 3,502.72, 4,825.17 and 2,942.80 is: 4,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.72 : 4,825.17 = 2,942.80 : x
  2. Step 2: Convert to fraction form
    3,502.72/4,825.17 = 2,942.80/x
  3. Step 3: Cross multiply
    3,502.72x = 4,825.17 × 2,942.80
  4. Step 4: Simplify right side
    3,502.72x = 14,199,510.28
  5. Step 5: Solve for x
    x = 14,199,510.28/3,502.72
  6. Step 6: Final answer
    x = 4,053.85

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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.