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Finding the Fourth Proportional to 3,767.50, 5,199.21 and 2,088.98

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Solution

The fourth proportional to 3,767.50, 5,199.21 and 2,088.98 is: 2,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.50 : 5,199.21 = 2,088.98 : x
  2. Step 2: Convert to fraction form
    3,767.50/5,199.21 = 2,088.98/x
  3. Step 3: Cross multiply
    3,767.50x = 5,199.21 × 2,088.98
  4. Step 4: Simplify right side
    3,767.50x = 10,861,037.77
  5. Step 5: Solve for x
    x = 10,861,037.77/3,767.50
  6. Step 6: Final answer
    x = 2,882.82

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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.