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Finding the Fourth Proportional to 6,391.26, 8,807.64 and 4,264.38

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Solution

The fourth proportional to 6,391.26, 8,807.64 and 4,264.38 is: 5,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.26 : 8,807.64 = 4,264.38 : x
  2. Step 2: Convert to fraction form
    6,391.26/8,807.64 = 4,264.38/x
  3. Step 3: Cross multiply
    6,391.26x = 8,807.64 × 4,264.38
  4. Step 4: Simplify right side
    6,391.26x = 37,559,123.86
  5. Step 5: Solve for x
    x = 37,559,123.86/6,391.26
  6. Step 6: Final answer
    x = 5,876.64

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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.