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Finding the Fourth Proportional to 3,566.72, 5,348.12 and 1,100.86

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Solution

The fourth proportional to 3,566.72, 5,348.12 and 1,100.86 is: 1,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.72 : 5,348.12 = 1,100.86 : x
  2. Step 2: Convert to fraction form
    3,566.72/5,348.12 = 1,100.86/x
  3. Step 3: Cross multiply
    3,566.72x = 5,348.12 × 1,100.86
  4. Step 4: Simplify right side
    3,566.72x = 5,887,531.38
  5. Step 5: Solve for x
    x = 5,887,531.38/3,566.72
  6. Step 6: Final answer
    x = 1,650.69

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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.