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Finding the Fourth Proportional to 3,767.49, 5,199.11 and 2,088.90

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Solution

The fourth proportional to 3,767.49, 5,199.11 and 2,088.90 is: 2,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.49 : 5,199.11 = 2,088.90 : x
  2. Step 2: Convert to fraction form
    3,767.49/5,199.11 = 2,088.90/x
  3. Step 3: Cross multiply
    3,767.49x = 5,199.11 × 2,088.90
  4. Step 4: Simplify right side
    3,767.49x = 10,860,402.69
  5. Step 5: Solve for x
    x = 10,860,402.69/3,767.49
  6. Step 6: Final answer
    x = 2,882.66

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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.