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Finding the Fourth Proportional to 3,514.52, 5,244.49 and 3,047.96

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Solution

The fourth proportional to 3,514.52, 5,244.49 and 3,047.96 is: 4,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.52 : 5,244.49 = 3,047.96 : x
  2. Step 2: Convert to fraction form
    3,514.52/5,244.49 = 3,047.96/x
  3. Step 3: Cross multiply
    3,514.52x = 5,244.49 × 3,047.96
  4. Step 4: Simplify right side
    3,514.52x = 15,984,995.74
  5. Step 5: Solve for x
    x = 15,984,995.74/3,514.52
  6. Step 6: Final answer
    x = 4,548.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.