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Finding the Fourth Proportional to 3,514.79, 5,272.29 and 1,049.66

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Solution

The fourth proportional to 3,514.79, 5,272.29 and 1,049.66 is: 1,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.79 : 5,272.29 = 1,049.66 : x
  2. Step 2: Convert to fraction form
    3,514.79/5,272.29 = 1,049.66/x
  3. Step 3: Cross multiply
    3,514.79x = 5,272.29 × 1,049.66
  4. Step 4: Simplify right side
    3,514.79x = 5,534,105.33
  5. Step 5: Solve for x
    x = 5,534,105.33/3,514.79
  6. Step 6: Final answer
    x = 1,574.52

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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.