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Finding the Fourth Proportional to 3,382.95, 5,070.98 and 2,287.43

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Solution

The fourth proportional to 3,382.95, 5,070.98 and 2,287.43 is: 3,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.95 : 5,070.98 = 2,287.43 : x
  2. Step 2: Convert to fraction form
    3,382.95/5,070.98 = 2,287.43/x
  3. Step 3: Cross multiply
    3,382.95x = 5,070.98 × 2,287.43
  4. Step 4: Simplify right side
    3,382.95x = 11,599,511.78
  5. Step 5: Solve for x
    x = 11,599,511.78/3,382.95
  6. Step 6: Final answer
    x = 3,428.82

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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.