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Finding the Fourth Proportional to 4,202.73, 5,800.10 and 2,314.65

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Solution

The fourth proportional to 4,202.73, 5,800.10 and 2,314.65 is: 3,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.73 : 5,800.10 = 2,314.65 : x
  2. Step 2: Convert to fraction form
    4,202.73/5,800.10 = 2,314.65/x
  3. Step 3: Cross multiply
    4,202.73x = 5,800.10 × 2,314.65
  4. Step 4: Simplify right side
    4,202.73x = 13,425,189.89
  5. Step 5: Solve for x
    x = 13,425,189.89/4,202.73
  6. Step 6: Final answer
    x = 3,194.40

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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.