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Finding the Fourth Proportional to 3,386.48, 5,082.95 and 1,744.20

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Solution

The fourth proportional to 3,386.48, 5,082.95 and 1,744.20 is: 2,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.48 : 5,082.95 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    3,386.48/5,082.95 = 1,744.20/x
  3. Step 3: Cross multiply
    3,386.48x = 5,082.95 × 1,744.20
  4. Step 4: Simplify right side
    3,386.48x = 8,865,685.75
  5. Step 5: Solve for x
    x = 8,865,685.75/3,386.48
  6. Step 6: Final answer
    x = 2,617.97

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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.