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Finding the Fourth Proportional to 3,514.55, 5,272.11 and 1,434.69

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Solution

The fourth proportional to 3,514.55, 5,272.11 and 1,434.69 is: 2,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.55 : 5,272.11 = 1,434.69 : x
  2. Step 2: Convert to fraction form
    3,514.55/5,272.11 = 1,434.69/x
  3. Step 3: Cross multiply
    3,514.55x = 5,272.11 × 1,434.69
  4. Step 4: Simplify right side
    3,514.55x = 7,563,843.50
  5. Step 5: Solve for x
    x = 7,563,843.50/3,514.55
  6. Step 6: Final answer
    x = 2,152.15

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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.