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Finding the Fourth Proportional to 3,452.84, 5,166.90 and 2,992.17

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Solution

The fourth proportional to 3,452.84, 5,166.90 and 2,992.17 is: 4,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.84 : 5,166.90 = 2,992.17 : x
  2. Step 2: Convert to fraction form
    3,452.84/5,166.90 = 2,992.17/x
  3. Step 3: Cross multiply
    3,452.84x = 5,166.90 × 2,992.17
  4. Step 4: Simplify right side
    3,452.84x = 15,460,243.17
  5. Step 5: Solve for x
    x = 15,460,243.17/3,452.84
  6. Step 6: Final answer
    x = 4,477.54

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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.