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Finding the Fourth Proportional to 4,470, 6,167.33 and 3,522.85

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Solution

The fourth proportional to 4,470, 6,167.33 and 3,522.85 is: 4,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 6,167.33 = 3,522.85 : x
  2. Step 2: Convert to fraction form
    4,470/6,167.33 = 3,522.85/x
  3. Step 3: Cross multiply
    4,470x = 6,167.33 × 3,522.85
  4. Step 4: Simplify right side
    4,470x = 21,726,578.49
  5. Step 5: Solve for x
    x = 21,726,578.49/4,470
  6. Step 6: Final answer
    x = 4,860.53

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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.