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Finding the Fourth Proportional to 3,775.75, 5,209.98 and 2,097.17

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Solution

The fourth proportional to 3,775.75, 5,209.98 and 2,097.17 is: 2,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.75 : 5,209.98 = 2,097.17 : x
  2. Step 2: Convert to fraction form
    3,775.75/5,209.98 = 2,097.17/x
  3. Step 3: Cross multiply
    3,775.75x = 5,209.98 × 2,097.17
  4. Step 4: Simplify right side
    3,775.75x = 10,926,213.76
  5. Step 5: Solve for x
    x = 10,926,213.76/3,775.75
  6. Step 6: Final answer
    x = 2,893.79

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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.