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Finding the Fourth Proportional to 3,837.96, 5,758.02 and 1,241.10

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Solution

The fourth proportional to 3,837.96, 5,758.02 and 1,241.10 is: 1,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.96 : 5,758.02 = 1,241.10 : x
  2. Step 2: Convert to fraction form
    3,837.96/5,758.02 = 1,241.10/x
  3. Step 3: Cross multiply
    3,837.96x = 5,758.02 × 1,241.10
  4. Step 4: Simplify right side
    3,837.96x = 7,146,278.62
  5. Step 5: Solve for x
    x = 7,146,278.62/3,837.96
  6. Step 6: Final answer
    x = 1,862.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.