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Finding the Fourth Proportional to 3,768.75, 5,200.88 and 2,197.15

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Solution

The fourth proportional to 3,768.75, 5,200.88 and 2,197.15 is: 3,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.75 : 5,200.88 = 2,197.15 : x
  2. Step 2: Convert to fraction form
    3,768.75/5,200.88 = 2,197.15/x
  3. Step 3: Cross multiply
    3,768.75x = 5,200.88 × 2,197.15
  4. Step 4: Simplify right side
    3,768.75x = 11,427,089.50
  5. Step 5: Solve for x
    x = 11,427,089.50/3,768.75
  6. Step 6: Final answer
    x = 3,032.06

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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.