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Finding the Fourth Proportional to 3,371.84, 5,058.12 and 1,063.16

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Solution

The fourth proportional to 3,371.84, 5,058.12 and 1,063.16 is: 1,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.84 : 5,058.12 = 1,063.16 : x
  2. Step 2: Convert to fraction form
    3,371.84/5,058.12 = 1,063.16/x
  3. Step 3: Cross multiply
    3,371.84x = 5,058.12 × 1,063.16
  4. Step 4: Simplify right side
    3,371.84x = 5,377,590.86
  5. Step 5: Solve for x
    x = 5,377,590.86/3,371.84
  6. Step 6: Final answer
    x = 1,594.85

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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.