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Finding the Fourth Proportional to 5,566.52, 8,342.04 and 3,102.68

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Solution

The fourth proportional to 5,566.52, 8,342.04 and 3,102.68 is: 4,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.52 : 8,342.04 = 3,102.68 : x
  2. Step 2: Convert to fraction form
    5,566.52/8,342.04 = 3,102.68/x
  3. Step 3: Cross multiply
    5,566.52x = 8,342.04 × 3,102.68
  4. Step 4: Simplify right side
    5,566.52x = 25,882,680.67
  5. Step 5: Solve for x
    x = 25,882,680.67/5,566.52
  6. Step 6: Final answer
    x = 4,649.71

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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.