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Finding the Fourth Proportional to 5,143.59, 7,707.31 and 3,976.46

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Solution

The fourth proportional to 5,143.59, 7,707.31 and 3,976.46 is: 5,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.59 : 7,707.31 = 3,976.46 : x
  2. Step 2: Convert to fraction form
    5,143.59/7,707.31 = 3,976.46/x
  3. Step 3: Cross multiply
    5,143.59x = 7,707.31 × 3,976.46
  4. Step 4: Simplify right side
    5,143.59x = 30,647,809.92
  5. Step 5: Solve for x
    x = 30,647,809.92/5,143.59
  6. Step 6: Final answer
    x = 5,958.45

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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.