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Finding the Fourth Proportional to 5,243, 7,235.52 and 2,885.24

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Solution

The fourth proportional to 5,243, 7,235.52 and 2,885.24 is: 3,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243 : 7,235.52 = 2,885.24 : x
  2. Step 2: Convert to fraction form
    5,243/7,235.52 = 2,885.24/x
  3. Step 3: Cross multiply
    5,243x = 7,235.52 × 2,885.24
  4. Step 4: Simplify right side
    5,243x = 20,876,211.72
  5. Step 5: Solve for x
    x = 20,876,211.72/5,243
  6. Step 6: Final answer
    x = 3,981.73

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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.