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Finding the Fourth Proportional to 3,424.88, 4,727.13 and 2,864.39

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Solution

The fourth proportional to 3,424.88, 4,727.13 and 2,864.39 is: 3,953.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.88 : 4,727.13 = 2,864.39 : x
  2. Step 2: Convert to fraction form
    3,424.88/4,727.13 = 2,864.39/x
  3. Step 3: Cross multiply
    3,424.88x = 4,727.13 × 2,864.39
  4. Step 4: Simplify right side
    3,424.88x = 13,540,343.90
  5. Step 5: Solve for x
    x = 13,540,343.90/3,424.88
  6. Step 6: Final answer
    x = 3,953.52

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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.