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Finding the Fourth Proportional to 3,842.60, 5,302.68 and 2,350.64

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Solution

The fourth proportional to 3,842.60, 5,302.68 and 2,350.64 is: 3,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.60 : 5,302.68 = 2,350.64 : x
  2. Step 2: Convert to fraction form
    3,842.60/5,302.68 = 2,350.64/x
  3. Step 3: Cross multiply
    3,842.60x = 5,302.68 × 2,350.64
  4. Step 4: Simplify right side
    3,842.60x = 12,464,691.72
  5. Step 5: Solve for x
    x = 12,464,691.72/3,842.60
  6. Step 6: Final answer
    x = 3,243.82

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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.