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Finding the Fourth Proportional to 3,792.96, 5,235.84 and 2,395.44

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Solution

The fourth proportional to 3,792.96, 5,235.84 and 2,395.44 is: 3,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,235.84 = 2,395.44 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,235.84 = 2,395.44/x
  3. Step 3: Cross multiply
    3,792.96x = 5,235.84 × 2,395.44
  4. Step 4: Simplify right side
    3,792.96x = 12,542,140.57
  5. Step 5: Solve for x
    x = 12,542,140.57/3,792.96
  6. Step 6: Final answer
    x = 3,306.69

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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.