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Finding the Fourth Proportional to 5,238.34, 7,862.67 and 3,847.77

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Solution

The fourth proportional to 5,238.34, 7,862.67 and 3,847.77 is: 5,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.34 : 7,862.67 = 3,847.77 : x
  2. Step 2: Convert to fraction form
    5,238.34/7,862.67 = 3,847.77/x
  3. Step 3: Cross multiply
    5,238.34x = 7,862.67 × 3,847.77
  4. Step 4: Simplify right side
    5,238.34x = 30,253,774.92
  5. Step 5: Solve for x
    x = 30,253,774.92/5,238.34
  6. Step 6: Final answer
    x = 5,775.45

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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.