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Finding the Fourth Proportional to 3,194.55, 4,792.62 and 2,538.90

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Solution

The fourth proportional to 3,194.55, 4,792.62 and 2,538.90 is: 3,808.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.55 : 4,792.62 = 2,538.90 : x
  2. Step 2: Convert to fraction form
    3,194.55/4,792.62 = 2,538.90/x
  3. Step 3: Cross multiply
    3,194.55x = 4,792.62 × 2,538.90
  4. Step 4: Simplify right side
    3,194.55x = 12,167,982.92
  5. Step 5: Solve for x
    x = 12,167,982.92/3,194.55
  6. Step 6: Final answer
    x = 3,808.98

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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.