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Finding the Fourth Proportional to 3,714.88, 5,127.53 and 2,122.39

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Solution

The fourth proportional to 3,714.88, 5,127.53 and 2,122.39 is: 2,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.88 : 5,127.53 = 2,122.39 : x
  2. Step 2: Convert to fraction form
    3,714.88/5,127.53 = 2,122.39/x
  3. Step 3: Cross multiply
    3,714.88x = 5,127.53 × 2,122.39
  4. Step 4: Simplify right side
    3,714.88x = 10,882,618.40
  5. Step 5: Solve for x
    x = 10,882,618.40/3,714.88
  6. Step 6: Final answer
    x = 2,929.47

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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.