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Finding the Fourth Proportional to 3,523.14, 4,863.02 and 2,032.06

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Solution

The fourth proportional to 3,523.14, 4,863.02 and 2,032.06 is: 2,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.14 : 4,863.02 = 2,032.06 : x
  2. Step 2: Convert to fraction form
    3,523.14/4,863.02 = 2,032.06/x
  3. Step 3: Cross multiply
    3,523.14x = 4,863.02 × 2,032.06
  4. Step 4: Simplify right side
    3,523.14x = 9,881,948.42
  5. Step 5: Solve for x
    x = 9,881,948.42/3,523.14
  6. Step 6: Final answer
    x = 2,804.87

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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.