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Finding the Fourth Proportional to 3,514.47, 5,272.64 and 1,049.31

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Solution

The fourth proportional to 3,514.47, 5,272.64 and 1,049.31 is: 1,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.47 : 5,272.64 = 1,049.31 : x
  2. Step 2: Convert to fraction form
    3,514.47/5,272.64 = 1,049.31/x
  3. Step 3: Cross multiply
    3,514.47x = 5,272.64 × 1,049.31
  4. Step 4: Simplify right side
    3,514.47x = 5,532,653.30
  5. Step 5: Solve for x
    x = 5,532,653.30/3,514.47
  6. Step 6: Final answer
    x = 1,574.25

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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.