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Finding the Fourth Proportional to 5,799.91, 8,003.73 and 3,442

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Solution

The fourth proportional to 5,799.91, 8,003.73 and 3,442 is: 4,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.91 : 8,003.73 = 3,442 : x
  2. Step 2: Convert to fraction form
    5,799.91/8,003.73 = 3,442/x
  3. Step 3: Cross multiply
    5,799.91x = 8,003.73 × 3,442
  4. Step 4: Simplify right side
    5,799.91x = 27,548,838.66
  5. Step 5: Solve for x
    x = 27,548,838.66/5,799.91
  6. Step 6: Final answer
    x = 4,749.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.