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Finding the Fourth Proportional to 5,178.80, 7,142.16 and 4,183.76

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Solution

The fourth proportional to 5,178.80, 7,142.16 and 4,183.76 is: 5,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.80 : 7,142.16 = 4,183.76 : x
  2. Step 2: Convert to fraction form
    5,178.80/7,142.16 = 4,183.76/x
  3. Step 3: Cross multiply
    5,178.80x = 7,142.16 × 4,183.76
  4. Step 4: Simplify right side
    5,178.80x = 29,881,083.32
  5. Step 5: Solve for x
    x = 29,881,083.32/5,178.80
  6. Step 6: Final answer
    x = 5,769.89

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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.