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Finding the Fourth Proportional to 3,131.52, 4,714.26 and 2,814

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Solution

The fourth proportional to 3,131.52, 4,714.26 and 2,814 is: 4,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.52 : 4,714.26 = 2,814 : x
  2. Step 2: Convert to fraction form
    3,131.52/4,714.26 = 2,814/x
  3. Step 3: Cross multiply
    3,131.52x = 4,714.26 × 2,814
  4. Step 4: Simplify right side
    3,131.52x = 13,265,927.64
  5. Step 5: Solve for x
    x = 13,265,927.64/3,131.52
  6. Step 6: Final answer
    x = 4,236.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.