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Finding the Fourth Proportional to 3,714.08, 5,126.76 and 2,534.31

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Solution

The fourth proportional to 3,714.08, 5,126.76 and 2,534.31 is: 3,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.08 : 5,126.76 = 2,534.31 : x
  2. Step 2: Convert to fraction form
    3,714.08/5,126.76 = 2,534.31/x
  3. Step 3: Cross multiply
    3,714.08x = 5,126.76 × 2,534.31
  4. Step 4: Simplify right side
    3,714.08x = 12,992,799.14
  5. Step 5: Solve for x
    x = 12,992,799.14/3,714.08
  6. Step 6: Final answer
    x = 3,498.26

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