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Finding the Fourth Proportional to 3,837.42, 5,282.96 and 3,443.76

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Solution

The fourth proportional to 3,837.42, 5,282.96 and 3,443.76 is: 4,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.42 : 5,282.96 = 3,443.76 : x
  2. Step 2: Convert to fraction form
    3,837.42/5,282.96 = 3,443.76/x
  3. Step 3: Cross multiply
    3,837.42x = 5,282.96 × 3,443.76
  4. Step 4: Simplify right side
    3,837.42x = 18,193,229.11
  5. Step 5: Solve for x
    x = 18,193,229.11/3,837.42
  6. Step 6: Final answer
    x = 4,741.01

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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.