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Finding the Fourth Proportional to 5,256.69, 7,885.03 and 2,138.39

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Solution

The fourth proportional to 5,256.69, 7,885.03 and 2,138.39 is: 3,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.69 : 7,885.03 = 2,138.39 : x
  2. Step 2: Convert to fraction form
    5,256.69/7,885.03 = 2,138.39/x
  3. Step 3: Cross multiply
    5,256.69x = 7,885.03 × 2,138.39
  4. Step 4: Simplify right side
    5,256.69x = 16,861,269.30
  5. Step 5: Solve for x
    x = 16,861,269.30/5,256.69
  6. Step 6: Final answer
    x = 3,207.58

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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.