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Finding the Fourth Proportional to 3,506.38, 4,838.88 and 1,934.62

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Solution

The fourth proportional to 3,506.38, 4,838.88 and 1,934.62 is: 2,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.38 : 4,838.88 = 1,934.62 : x
  2. Step 2: Convert to fraction form
    3,506.38/4,838.88 = 1,934.62/x
  3. Step 3: Cross multiply
    3,506.38x = 4,838.88 × 1,934.62
  4. Step 4: Simplify right side
    3,506.38x = 9,361,394.03
  5. Step 5: Solve for x
    x = 9,361,394.03/3,506.38
  6. Step 6: Final answer
    x = 2,669.82

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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.