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Finding the Fourth Proportional to 3,714.64, 5,126.21 and 2,013.15

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Solution

The fourth proportional to 3,714.64, 5,126.21 and 2,013.15 is: 2,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.64 : 5,126.21 = 2,013.15 : x
  2. Step 2: Convert to fraction form
    3,714.64/5,126.21 = 2,013.15/x
  3. Step 3: Cross multiply
    3,714.64x = 5,126.21 × 2,013.15
  4. Step 4: Simplify right side
    3,714.64x = 10,319,829.66
  5. Step 5: Solve for x
    x = 10,319,829.66/3,714.64
  6. Step 6: Final answer
    x = 2,778.15

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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.