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Finding the Fourth Proportional to 3,427.89, 5,127.15 and 3,178.90

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Solution

The fourth proportional to 3,427.89, 5,127.15 and 3,178.90 is: 4,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.89 : 5,127.15 = 3,178.90 : x
  2. Step 2: Convert to fraction form
    3,427.89/5,127.15 = 3,178.90/x
  3. Step 3: Cross multiply
    3,427.89x = 5,127.15 × 3,178.90
  4. Step 4: Simplify right side
    3,427.89x = 16,298,668.74
  5. Step 5: Solve for x
    x = 16,298,668.74/3,427.89
  6. Step 6: Final answer
    x = 4,754.72

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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.