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Finding the Fourth Proportional to 5,351.85, 7,387.13 and 3,114.72

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Solution

The fourth proportional to 5,351.85, 7,387.13 and 3,114.72 is: 4,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.85 : 7,387.13 = 3,114.72 : x
  2. Step 2: Convert to fraction form
    5,351.85/7,387.13 = 3,114.72/x
  3. Step 3: Cross multiply
    5,351.85x = 7,387.13 × 3,114.72
  4. Step 4: Simplify right side
    5,351.85x = 23,008,849.34
  5. Step 5: Solve for x
    x = 23,008,849.34/5,351.85
  6. Step 6: Final answer
    x = 4,299.23

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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.