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Finding the Fourth Proportional to 4,202.76, 5,799.96 and 2,314.42

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Solution

The fourth proportional to 4,202.76, 5,799.96 and 2,314.42 is: 3,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.76 : 5,799.96 = 2,314.42 : x
  2. Step 2: Convert to fraction form
    4,202.76/5,799.96 = 2,314.42/x
  3. Step 3: Cross multiply
    4,202.76x = 5,799.96 × 2,314.42
  4. Step 4: Simplify right side
    4,202.76x = 13,423,543.42
  5. Step 5: Solve for x
    x = 13,423,543.42/4,202.76
  6. Step 6: Final answer
    x = 3,193.98

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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.