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Finding the Fourth Proportional to 3,506.52, 4,839 and 1,934.66

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Solution

The fourth proportional to 3,506.52, 4,839 and 1,934.66 is: 2,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.52 : 4,839 = 1,934.66 : x
  2. Step 2: Convert to fraction form
    3,506.52/4,839 = 1,934.66/x
  3. Step 3: Cross multiply
    3,506.52x = 4,839 × 1,934.66
  4. Step 4: Simplify right side
    3,506.52x = 9,361,819.74
  5. Step 5: Solve for x
    x = 9,361,819.74/3,506.52
  6. Step 6: Final answer
    x = 2,669.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.