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Finding the Fourth Proportional to 5,472.72, 8,213.08 and 2,186.76

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Solution

The fourth proportional to 5,472.72, 8,213.08 and 2,186.76 is: 3,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.72 : 8,213.08 = 2,186.76 : x
  2. Step 2: Convert to fraction form
    5,472.72/8,213.08 = 2,186.76/x
  3. Step 3: Cross multiply
    5,472.72x = 8,213.08 × 2,186.76
  4. Step 4: Simplify right side
    5,472.72x = 17,960,034.82
  5. Step 5: Solve for x
    x = 17,960,034.82/5,472.72
  6. Step 6: Final answer
    x = 3,281.74

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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.