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Finding the Fourth Proportional to 5,799.22, 8,002.85 and 3,146.57

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Solution

The fourth proportional to 5,799.22, 8,002.85 and 3,146.57 is: 4,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.22 : 8,002.85 = 3,146.57 : x
  2. Step 2: Convert to fraction form
    5,799.22/8,002.85 = 3,146.57/x
  3. Step 3: Cross multiply
    5,799.22x = 8,002.85 × 3,146.57
  4. Step 4: Simplify right side
    5,799.22x = 25,181,495.58
  5. Step 5: Solve for x
    x = 25,181,495.58/5,799.22
  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.