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Finding the Fourth Proportional to 4,169.14, 6,255.16 and 1,572.82

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Solution

The fourth proportional to 4,169.14, 6,255.16 and 1,572.82 is: 2,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.14 : 6,255.16 = 1,572.82 : x
  2. Step 2: Convert to fraction form
    4,169.14/6,255.16 = 1,572.82/x
  3. Step 3: Cross multiply
    4,169.14x = 6,255.16 × 1,572.82
  4. Step 4: Simplify right side
    4,169.14x = 9,838,240.75
  5. Step 5: Solve for x
    x = 9,838,240.75/4,169.14
  6. Step 6: Final answer
    x = 2,359.78

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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.