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Finding the Fourth Proportional to 3,514.86, 5,271.78 and 1,049.22

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Solution

The fourth proportional to 3,514.86, 5,271.78 and 1,049.22 is: 1,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.86 : 5,271.78 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    3,514.86/5,271.78 = 1,049.22/x
  3. Step 3: Cross multiply
    3,514.86x = 5,271.78 × 1,049.22
  4. Step 4: Simplify right side
    3,514.86x = 5,531,257.01
  5. Step 5: Solve for x
    x = 5,531,257.01/3,514.86
  6. Step 6: Final answer
    x = 1,573.68

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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.