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Finding the Fourth Proportional to 4,147.70, 5,731.11 and 3,315.27

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Solution

The fourth proportional to 4,147.70, 5,731.11 and 3,315.27 is: 4,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.70 : 5,731.11 = 3,315.27 : x
  2. Step 2: Convert to fraction form
    4,147.70/5,731.11 = 3,315.27/x
  3. Step 3: Cross multiply
    4,147.70x = 5,731.11 × 3,315.27
  4. Step 4: Simplify right side
    4,147.70x = 19,000,160.47
  5. Step 5: Solve for x
    x = 19,000,160.47/4,147.70
  6. Step 6: Final answer
    x = 4,580.90

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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.