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Finding the Fourth Proportional to 3,908.49, 5,864.22 and 2,524.47

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Solution

The fourth proportional to 3,908.49, 5,864.22 and 2,524.47 is: 3,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.49 : 5,864.22 = 2,524.47 : x
  2. Step 2: Convert to fraction form
    3,908.49/5,864.22 = 2,524.47/x
  3. Step 3: Cross multiply
    3,908.49x = 5,864.22 × 2,524.47
  4. Step 4: Simplify right side
    3,908.49x = 14,804,047.46
  5. Step 5: Solve for x
    x = 14,804,047.46/3,908.49
  6. Step 6: Final answer
    x = 3,787.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.