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Finding the Fourth Proportional to 5,105.04, 7,641.56 and 3,514.48

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Solution

The fourth proportional to 5,105.04, 7,641.56 and 3,514.48 is: 5,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.04 : 7,641.56 = 3,514.48 : x
  2. Step 2: Convert to fraction form
    5,105.04/7,641.56 = 3,514.48/x
  3. Step 3: Cross multiply
    5,105.04x = 7,641.56 × 3,514.48
  4. Step 4: Simplify right side
    5,105.04x = 26,856,109.79
  5. Step 5: Solve for x
    x = 26,856,109.79/5,105.04
  6. Step 6: Final answer
    x = 5,260.71

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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.