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Finding the Fourth Proportional to 5,207.59, 7,186.50 and 3,217.69

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Solution

The fourth proportional to 5,207.59, 7,186.50 and 3,217.69 is: 4,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.59 : 7,186.50 = 3,217.69 : x
  2. Step 2: Convert to fraction form
    5,207.59/7,186.50 = 3,217.69/x
  3. Step 3: Cross multiply
    5,207.59x = 7,186.50 × 3,217.69
  4. Step 4: Simplify right side
    5,207.59x = 23,123,929.19
  5. Step 5: Solve for x
    x = 23,123,929.19/5,207.59
  6. Step 6: Final answer
    x = 4,440.43

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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.