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Finding the Fourth Proportional to 5,189.76, 7,162.04 and 2,832.08

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Solution

The fourth proportional to 5,189.76, 7,162.04 and 2,832.08 is: 3,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.76 : 7,162.04 = 2,832.08 : x
  2. Step 2: Convert to fraction form
    5,189.76/7,162.04 = 2,832.08/x
  3. Step 3: Cross multiply
    5,189.76x = 7,162.04 × 2,832.08
  4. Step 4: Simplify right side
    5,189.76x = 20,283,470.24
  5. Step 5: Solve for x
    x = 20,283,470.24/5,189.76
  6. Step 6: Final answer
    x = 3,908.36

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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.