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Finding the Fourth Proportional to 5,382.32, 8,069.02 and 2,264.69

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Solution

The fourth proportional to 5,382.32, 8,069.02 and 2,264.69 is: 3,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.32 : 8,069.02 = 2,264.69 : x
  2. Step 2: Convert to fraction form
    5,382.32/8,069.02 = 2,264.69/x
  3. Step 3: Cross multiply
    5,382.32x = 8,069.02 × 2,264.69
  4. Step 4: Simplify right side
    5,382.32x = 18,273,843.41
  5. Step 5: Solve for x
    x = 18,273,843.41/5,382.32
  6. Step 6: Final answer
    x = 3,395.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.