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Finding the Fourth Proportional to 3,471.04, 5,200.71 and 1,713.70

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Solution

The fourth proportional to 3,471.04, 5,200.71 and 1,713.70 is: 2,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.04 : 5,200.71 = 1,713.70 : x
  2. Step 2: Convert to fraction form
    3,471.04/5,200.71 = 1,713.70/x
  3. Step 3: Cross multiply
    3,471.04x = 5,200.71 × 1,713.70
  4. Step 4: Simplify right side
    3,471.04x = 8,912,456.73
  5. Step 5: Solve for x
    x = 8,912,456.73/3,471.04
  6. Step 6: Final answer
    x = 2,567.66

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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.