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Finding the Fourth Proportional to 5,655.76, 8,478 and 2,732.46

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Solution

The fourth proportional to 5,655.76, 8,478 and 2,732.46 is: 4,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.76 : 8,478 = 2,732.46 : x
  2. Step 2: Convert to fraction form
    5,655.76/8,478 = 2,732.46/x
  3. Step 3: Cross multiply
    5,655.76x = 8,478 × 2,732.46
  4. Step 4: Simplify right side
    5,655.76x = 23,165,795.88
  5. Step 5: Solve for x
    x = 23,165,795.88/5,655.76
  6. Step 6: Final answer
    x = 4,095.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.