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Finding the Fourth Proportional to 3,394.71, 5,082.89 and 2,352.51

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Solution

The fourth proportional to 3,394.71, 5,082.89 and 2,352.51 is: 3,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.71 : 5,082.89 = 2,352.51 : x
  2. Step 2: Convert to fraction form
    3,394.71/5,082.89 = 2,352.51/x
  3. Step 3: Cross multiply
    3,394.71x = 5,082.89 × 2,352.51
  4. Step 4: Simplify right side
    3,394.71x = 11,957,537.79
  5. Step 5: Solve for x
    x = 11,957,537.79/3,394.71
  6. Step 6: Final answer
    x = 3,522.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.