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Finding the Fourth Proportional to 5,537.17, 7,642.88 and 3,270.61

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Solution

The fourth proportional to 5,537.17, 7,642.88 and 3,270.61 is: 4,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.17 : 7,642.88 = 3,270.61 : x
  2. Step 2: Convert to fraction form
    5,537.17/7,642.88 = 3,270.61/x
  3. Step 3: Cross multiply
    5,537.17x = 7,642.88 × 3,270.61
  4. Step 4: Simplify right side
    5,537.17x = 24,996,879.76
  5. Step 5: Solve for x
    x = 24,996,879.76/5,537.17
  6. Step 6: Final answer
    x = 4,514.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.