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Finding the Fourth Proportional to 5,799.24, 8,002.82 and 3,146.59

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Solution

The fourth proportional to 5,799.24, 8,002.82 and 3,146.59 is: 4,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.24 : 8,002.82 = 3,146.59 : x
  2. Step 2: Convert to fraction form
    5,799.24/8,002.82 = 3,146.59/x
  3. Step 3: Cross multiply
    5,799.24x = 8,002.82 × 3,146.59
  4. Step 4: Simplify right side
    5,799.24x = 25,181,581.24
  5. Step 5: Solve for x
    x = 25,181,581.24/5,799.24
  6. Step 6: Final answer
    x = 4,342.22

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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.