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Finding the Fourth Proportional to 5,799.34, 8,003 and 3,146.73

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Solution

The fourth proportional to 5,799.34, 8,003 and 3,146.73 is: 4,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.34 : 8,003 = 3,146.73 : x
  2. Step 2: Convert to fraction form
    5,799.34/8,003 = 3,146.73/x
  3. Step 3: Cross multiply
    5,799.34x = 8,003 × 3,146.73
  4. Step 4: Simplify right side
    5,799.34x = 25,183,240.18
  5. Step 5: Solve for x
    x = 25,183,240.18/5,799.34
  6. Step 6: Final answer
    x = 4,342.43

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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.