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Finding the Fourth Proportional to 4,839.63, 7,253.82 and 2,203.17

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Solution

The fourth proportional to 4,839.63, 7,253.82 and 2,203.17 is: 3,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,839.63 : 7,253.82 = 2,203.17 : x
  2. Step 2: Convert to fraction form
    4,839.63/7,253.82 = 2,203.17/x
  3. Step 3: Cross multiply
    4,839.63x = 7,253.82 × 2,203.17
  4. Step 4: Simplify right side
    4,839.63x = 15,981,398.61
  5. Step 5: Solve for x
    x = 15,981,398.61/4,839.63
  6. Step 6: Final answer
    x = 3,302.19

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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.