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Finding the Fourth Proportional to 6,382.50, 8,807.87 and 3,731.37

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Solution

The fourth proportional to 6,382.50, 8,807.87 and 3,731.37 is: 5,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.50 : 8,807.87 = 3,731.37 : x
  2. Step 2: Convert to fraction form
    6,382.50/8,807.87 = 3,731.37/x
  3. Step 3: Cross multiply
    6,382.50x = 8,807.87 × 3,731.37
  4. Step 4: Simplify right side
    6,382.50x = 32,865,403.23
  5. Step 5: Solve for x
    x = 32,865,403.23/6,382.50
  6. Step 6: Final answer
    x = 5,149.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.