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Finding the Fourth Proportional to 5,160.20, 7,743 and 4,881.38

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Solution

The fourth proportional to 5,160.20, 7,743 and 4,881.38 is: 7,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.20 : 7,743 = 4,881.38 : x
  2. Step 2: Convert to fraction form
    5,160.20/7,743 = 4,881.38/x
  3. Step 3: Cross multiply
    5,160.20x = 7,743 × 4,881.38
  4. Step 4: Simplify right side
    5,160.20x = 37,796,525.34
  5. Step 5: Solve for x
    x = 37,796,525.34/5,160.20
  6. Step 6: Final answer
    x = 7,324.62

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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.