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Finding the Fourth Proportional to 5,707.24, 7,882.62 and 3,815.62

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Solution

The fourth proportional to 5,707.24, 7,882.62 and 3,815.62 is: 5,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.24 : 7,882.62 = 3,815.62 : x
  2. Step 2: Convert to fraction form
    5,707.24/7,882.62 = 3,815.62/x
  3. Step 3: Cross multiply
    5,707.24x = 7,882.62 × 3,815.62
  4. Step 4: Simplify right side
    5,707.24x = 30,077,082.52
  5. Step 5: Solve for x
    x = 30,077,082.52/5,707.24
  6. Step 6: Final answer
    x = 5,269.99

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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.