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Finding the Fourth Proportional to 5,799.21, 8,002.92 and 3,146.64

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Solution

The fourth proportional to 5,799.21, 8,002.92 and 3,146.64 is: 4,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.21 : 8,002.92 = 3,146.64 : x
  2. Step 2: Convert to fraction form
    5,799.21/8,002.92 = 3,146.64/x
  3. Step 3: Cross multiply
    5,799.21x = 8,002.92 × 3,146.64
  4. Step 4: Simplify right side
    5,799.21x = 25,182,308.19
  5. Step 5: Solve for x
    x = 25,182,308.19/5,799.21
  6. Step 6: Final answer
    x = 4,342.37

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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.