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Finding the Fourth Proportional to 6,442.74, 8,892.73 and 3,791.00

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Solution

The fourth proportional to 6,442.74, 8,892.73 and 3,791.00 is: 5,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.74 : 8,892.73 = 3,791.00 : x
  2. Step 2: Convert to fraction form
    6,442.74/8,892.73 = 3,791.00/x
  3. Step 3: Cross multiply
    6,442.74x = 8,892.73 × 3,791.00
  4. Step 4: Simplify right side
    6,442.74x = 33,712,318.84
  5. Step 5: Solve for x
    x = 33,712,318.84/6,442.74
  6. Step 6: Final answer
    x = 5,232.61

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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.