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Finding the Fourth Proportional to 4,142.08, 5,714.16 and 2,649.25

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Solution

The fourth proportional to 4,142.08, 5,714.16 and 2,649.25 is: 3,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.08 : 5,714.16 = 2,649.25 : x
  2. Step 2: Convert to fraction form
    4,142.08/5,714.16 = 2,649.25/x
  3. Step 3: Cross multiply
    4,142.08x = 5,714.16 × 2,649.25
  4. Step 4: Simplify right side
    4,142.08x = 15,138,238.38
  5. Step 5: Solve for x
    x = 15,138,238.38/4,142.08
  6. Step 6: Final answer
    x = 3,654.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.