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Finding the Fourth Proportional to 5,468.74, 8,207.08 and 2,182.76

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Solution

The fourth proportional to 5,468.74, 8,207.08 and 2,182.76 is: 3,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.74 : 8,207.08 = 2,182.76 : x
  2. Step 2: Convert to fraction form
    5,468.74/8,207.08 = 2,182.76/x
  3. Step 3: Cross multiply
    5,468.74x = 8,207.08 × 2,182.76
  4. Step 4: Simplify right side
    5,468.74x = 17,914,085.94
  5. Step 5: Solve for x
    x = 17,914,085.94/5,468.74
  6. Step 6: Final answer
    x = 3,275.72

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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.