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Finding the Fourth Proportional to 3,378.90, 5,062.02 and 2,281.38

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Solution

The fourth proportional to 3,378.90, 5,062.02 and 2,281.38 is: 3,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.90 : 5,062.02 = 2,281.38 : x
  2. Step 2: Convert to fraction form
    3,378.90/5,062.02 = 2,281.38/x
  3. Step 3: Cross multiply
    3,378.90x = 5,062.02 × 2,281.38
  4. Step 4: Simplify right side
    3,378.90x = 11,548,391.19
  5. Step 5: Solve for x
    x = 11,548,391.19/3,378.90
  6. Step 6: Final answer
    x = 3,417.80

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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.