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Finding the Fourth Proportional to 3,420.92, 5,126.34 and 1,567.46

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Solution

The fourth proportional to 3,420.92, 5,126.34 and 1,567.46 is: 2,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.92 : 5,126.34 = 1,567.46 : x
  2. Step 2: Convert to fraction form
    3,420.92/5,126.34 = 1,567.46/x
  3. Step 3: Cross multiply
    3,420.92x = 5,126.34 × 1,567.46
  4. Step 4: Simplify right side
    3,420.92x = 8,035,332.90
  5. Step 5: Solve for x
    x = 8,035,332.90/3,420.92
  6. Step 6: Final answer
    x = 2,348.88

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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.