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Finding the Fourth Proportional to 5,233.96, 7,850.52 and 2,461.24

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Solution

The fourth proportional to 5,233.96, 7,850.52 and 2,461.24 is: 3,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.96 : 7,850.52 = 2,461.24 : x
  2. Step 2: Convert to fraction form
    5,233.96/7,850.52 = 2,461.24/x
  3. Step 3: Cross multiply
    5,233.96x = 7,850.52 × 2,461.24
  4. Step 4: Simplify right side
    5,233.96x = 19,322,013.84
  5. Step 5: Solve for x
    x = 19,322,013.84/5,233.96
  6. Step 6: Final answer
    x = 3,691.66

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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.