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Finding the Fourth Proportional to 5,168.70, 7,132.82 and 3,178.83

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Solution

The fourth proportional to 5,168.70, 7,132.82 and 3,178.83 is: 4,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.70 : 7,132.82 = 3,178.83 : x
  2. Step 2: Convert to fraction form
    5,168.70/7,132.82 = 3,178.83/x
  3. Step 3: Cross multiply
    5,168.70x = 7,132.82 × 3,178.83
  4. Step 4: Simplify right side
    5,168.70x = 22,674,022.20
  5. Step 5: Solve for x
    x = 22,674,022.20/5,168.70
  6. Step 6: Final answer
    x = 4,386.79

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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.