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Finding the Fourth Proportional to 3,714.47, 5,126.12 and 2,121.39

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Solution

The fourth proportional to 3,714.47, 5,126.12 and 2,121.39 is: 2,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.47 : 5,126.12 = 2,121.39 : x
  2. Step 2: Convert to fraction form
    3,714.47/5,126.12 = 2,121.39/x
  3. Step 3: Cross multiply
    3,714.47x = 5,126.12 × 2,121.39
  4. Step 4: Simplify right side
    3,714.47x = 10,874,497.06
  5. Step 5: Solve for x
    x = 10,874,497.06/3,714.47
  6. Step 6: Final answer
    x = 2,927.60

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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.