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Finding the Fourth Proportional to 3,882.84, 5,851.59 and 3,513.15

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Solution

The fourth proportional to 3,882.84, 5,851.59 and 3,513.15 is: 5,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.84 : 5,851.59 = 3,513.15 : x
  2. Step 2: Convert to fraction form
    3,882.84/5,851.59 = 3,513.15/x
  3. Step 3: Cross multiply
    3,882.84x = 5,851.59 × 3,513.15
  4. Step 4: Simplify right side
    3,882.84x = 20,557,498.91
  5. Step 5: Solve for x
    x = 20,557,498.91/3,882.84
  6. Step 6: Final answer
    x = 5,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.