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Finding the Fourth Proportional to 3,763.50, 5,187.15 and 3,537.78

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Solution

The fourth proportional to 3,763.50, 5,187.15 and 3,537.78 is: 4,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.50 : 5,187.15 = 3,537.78 : x
  2. Step 2: Convert to fraction form
    3,763.50/5,187.15 = 3,537.78/x
  3. Step 3: Cross multiply
    3,763.50x = 5,187.15 × 3,537.78
  4. Step 4: Simplify right side
    3,763.50x = 18,350,995.53
  5. Step 5: Solve for x
    x = 18,350,995.53/3,763.50
  6. Step 6: Final answer
    x = 4,876.05

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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.