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Finding the Fourth Proportional to 3,842.68, 5,302.92 and 2,186.68

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Solution

The fourth proportional to 3,842.68, 5,302.92 and 2,186.68 is: 3,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.68 : 5,302.92 = 2,186.68 : x
  2. Step 2: Convert to fraction form
    3,842.68/5,302.92 = 2,186.68/x
  3. Step 3: Cross multiply
    3,842.68x = 5,302.92 × 2,186.68
  4. Step 4: Simplify right side
    3,842.68x = 11,595,789.11
  5. Step 5: Solve for x
    x = 11,595,789.11/3,842.68
  6. Step 6: Final answer
    x = 3,017.63

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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.