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Finding the Fourth Proportional to 4,202.72, 5,799.80 and 2,339.72

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Solution

The fourth proportional to 4,202.72, 5,799.80 and 2,339.72 is: 3,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.72 : 5,799.80 = 2,339.72 : x
  2. Step 2: Convert to fraction form
    4,202.72/5,799.80 = 2,339.72/x
  3. Step 3: Cross multiply
    4,202.72x = 5,799.80 × 2,339.72
  4. Step 4: Simplify right side
    4,202.72x = 13,569,906.66
  5. Step 5: Solve for x
    x = 13,569,906.66/4,202.72
  6. Step 6: Final answer
    x = 3,228.84

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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.