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Finding the Fourth Proportional to 3,471.03, 5,200.70 and 1,713.69

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Solution

The fourth proportional to 3,471.03, 5,200.70 and 1,713.69 is: 2,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.03 : 5,200.70 = 1,713.69 : x
  2. Step 2: Convert to fraction form
    3,471.03/5,200.70 = 1,713.69/x
  3. Step 3: Cross multiply
    3,471.03x = 5,200.70 × 1,713.69
  4. Step 4: Simplify right side
    3,471.03x = 8,912,379.01
  5. Step 5: Solve for x
    x = 8,912,379.01/3,471.03
  6. Step 6: Final answer
    x = 2,567.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.