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Finding the Fourth Proportional to 5,167.35, 7,750.82 and 2,204.57

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Solution

The fourth proportional to 5,167.35, 7,750.82 and 2,204.57 is: 3,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.35 : 7,750.82 = 2,204.57 : x
  2. Step 2: Convert to fraction form
    5,167.35/7,750.82 = 2,204.57/x
  3. Step 3: Cross multiply
    5,167.35x = 7,750.82 × 2,204.57
  4. Step 4: Simplify right side
    5,167.35x = 17,087,214.22
  5. Step 5: Solve for x
    x = 17,087,214.22/5,167.35
  6. Step 6: Final answer
    x = 3,306.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.