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Finding the Fourth Proportional to 3,506.47, 4,838.92 and 1,934.56

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Solution

The fourth proportional to 3,506.47, 4,838.92 and 1,934.56 is: 2,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.47 : 4,838.92 = 1,934.56 : x
  2. Step 2: Convert to fraction form
    3,506.47/4,838.92 = 1,934.56/x
  3. Step 3: Cross multiply
    3,506.47x = 4,838.92 × 1,934.56
  4. Step 4: Simplify right side
    3,506.47x = 9,361,181.08
  5. Step 5: Solve for x
    x = 9,361,181.08/3,506.47
  6. Step 6: Final answer
    x = 2,669.69

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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.