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Finding the Fourth Proportional to 3,382.91, 5,075.88 and 2,150

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Solution

The fourth proportional to 3,382.91, 5,075.88 and 2,150 is: 3,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.91 : 5,075.88 = 2,150 : x
  2. Step 2: Convert to fraction form
    3,382.91/5,075.88 = 2,150/x
  3. Step 3: Cross multiply
    3,382.91x = 5,075.88 × 2,150
  4. Step 4: Simplify right side
    3,382.91x = 10,913,142
  5. Step 5: Solve for x
    x = 10,913,142/3,382.91
  6. Step 6: Final answer
    x = 3,225.96

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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.