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Finding the Fourth Proportional to 3,382.14, 5,065.00 and 2,339.20

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Solution

The fourth proportional to 3,382.14, 5,065.00 and 2,339.20 is: 3,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.14 : 5,065.00 = 2,339.20 : x
  2. Step 2: Convert to fraction form
    3,382.14/5,065.00 = 2,339.20/x
  3. Step 3: Cross multiply
    3,382.14x = 5,065.00 × 2,339.20
  4. Step 4: Simplify right side
    3,382.14x = 11,848,048.48
  5. Step 5: Solve for x
    x = 11,848,048.48/3,382.14
  6. Step 6: Final answer
    x = 3,503.12

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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.