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Finding the Fourth Proportional to 5,857.09, 8,084.08 and 4,042.66

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Solution

The fourth proportional to 5,857.09, 8,084.08 and 4,042.66 is: 5,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.09 : 8,084.08 = 4,042.66 : x
  2. Step 2: Convert to fraction form
    5,857.09/8,084.08 = 4,042.66/x
  3. Step 3: Cross multiply
    5,857.09x = 8,084.08 × 4,042.66
  4. Step 4: Simplify right side
    5,857.09x = 32,681,141.38
  5. Step 5: Solve for x
    x = 32,681,141.38/5,857.09
  6. Step 6: Final answer
    x = 5,579.76

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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.