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Finding the Fourth Proportional to 5,799.28, 8,003 and 3,146.70

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Solution

The fourth proportional to 5,799.28, 8,003 and 3,146.70 is: 4,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.28 : 8,003 = 3,146.70 : x
  2. Step 2: Convert to fraction form
    5,799.28/8,003 = 3,146.70/x
  3. Step 3: Cross multiply
    5,799.28x = 8,003 × 3,146.70
  4. Step 4: Simplify right side
    5,799.28x = 25,183,040.10
  5. Step 5: Solve for x
    x = 25,183,040.10/5,799.28
  6. Step 6: Final answer
    x = 4,342.44

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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.