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Finding the Fourth Proportional to 6,092.64, 8,399.52 and 3,853.38

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Solution

The fourth proportional to 6,092.64, 8,399.52 and 3,853.38 is: 5,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.64 : 8,399.52 = 3,853.38 : x
  2. Step 2: Convert to fraction form
    6,092.64/8,399.52 = 3,853.38/x
  3. Step 3: Cross multiply
    6,092.64x = 8,399.52 × 3,853.38
  4. Step 4: Simplify right side
    6,092.64x = 32,366,542.38
  5. Step 5: Solve for x
    x = 32,366,542.38/6,092.64
  6. Step 6: Final answer
    x = 5,312.40

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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.