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Finding the Fourth Proportional to 3,338.95, 5,002.92 and 1,146.49

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Solution

The fourth proportional to 3,338.95, 5,002.92 and 1,146.49 is: 1,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.95 : 5,002.92 = 1,146.49 : x
  2. Step 2: Convert to fraction form
    3,338.95/5,002.92 = 1,146.49/x
  3. Step 3: Cross multiply
    3,338.95x = 5,002.92 × 1,146.49
  4. Step 4: Simplify right side
    3,338.95x = 5,735,797.75
  5. Step 5: Solve for x
    x = 5,735,797.75/3,338.95
  6. Step 6: Final answer
    x = 1,717.84

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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.