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Finding the Fourth Proportional to 3,514.59, 5,271.89 and 1,049.46

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Solution

The fourth proportional to 3,514.59, 5,271.89 and 1,049.46 is: 1,574.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.59 : 5,271.89 = 1,049.46 : x
  2. Step 2: Convert to fraction form
    3,514.59/5,271.89 = 1,049.46/x
  3. Step 3: Cross multiply
    3,514.59x = 5,271.89 × 1,049.46
  4. Step 4: Simplify right side
    3,514.59x = 5,532,612.66
  5. Step 5: Solve for x
    x = 5,532,612.66/3,514.59
  6. Step 6: Final answer
    x = 1,574.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.