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Finding the Fourth Proportional to 4,166.92, 6,246.70 and 1,571.68

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Solution

The fourth proportional to 4,166.92, 6,246.70 and 1,571.68 is: 2,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.92 : 6,246.70 = 1,571.68 : x
  2. Step 2: Convert to fraction form
    4,166.92/6,246.70 = 1,571.68/x
  3. Step 3: Cross multiply
    4,166.92x = 6,246.70 × 1,571.68
  4. Step 4: Simplify right side
    4,166.92x = 9,817,793.91
  5. Step 5: Solve for x
    x = 9,817,793.91/4,166.92
  6. Step 6: Final answer
    x = 2,356.13

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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.