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Finding the Fourth Proportional to 6,382.02, 8,807.38 and 3,864.59

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Solution

The fourth proportional to 6,382.02, 8,807.38 and 3,864.59 is: 5,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.02 : 8,807.38 = 3,864.59 : x
  2. Step 2: Convert to fraction form
    6,382.02/8,807.38 = 3,864.59/x
  3. Step 3: Cross multiply
    6,382.02x = 8,807.38 × 3,864.59
  4. Step 4: Simplify right side
    6,382.02x = 34,036,963.28
  5. Step 5: Solve for x
    x = 34,036,963.28/6,382.02
  6. Step 6: Final answer
    x = 5,333.26

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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.