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Finding the Fourth Proportional to 5,976.56, 8,964.03 and 2,513

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Solution

The fourth proportional to 5,976.56, 8,964.03 and 2,513 is: 3,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.56 : 8,964.03 = 2,513 : x
  2. Step 2: Convert to fraction form
    5,976.56/8,964.03 = 2,513/x
  3. Step 3: Cross multiply
    5,976.56x = 8,964.03 × 2,513
  4. Step 4: Simplify right side
    5,976.56x = 22,526,607.39
  5. Step 5: Solve for x
    x = 22,526,607.39/5,976.56
  6. Step 6: Final answer
    x = 3,769.16

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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.