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Finding the Fourth Proportional to 3,523.25, 4,863.14 and 2,032.14

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Solution

The fourth proportional to 3,523.25, 4,863.14 and 2,032.14 is: 2,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.25 : 4,863.14 = 2,032.14 : x
  2. Step 2: Convert to fraction form
    3,523.25/4,863.14 = 2,032.14/x
  3. Step 3: Cross multiply
    3,523.25x = 4,863.14 × 2,032.14
  4. Step 4: Simplify right side
    3,523.25x = 9,882,569.66
  5. Step 5: Solve for x
    x = 9,882,569.66/3,523.25
  6. Step 6: Final answer
    x = 2,804.96

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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.