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Finding the Fourth Proportional to 5,789.28, 7,977.62 and 4,017.81

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Solution

The fourth proportional to 5,789.28, 7,977.62 and 4,017.81 is: 5,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.28 : 7,977.62 = 4,017.81 : x
  2. Step 2: Convert to fraction form
    5,789.28/7,977.62 = 4,017.81/x
  3. Step 3: Cross multiply
    5,789.28x = 7,977.62 × 4,017.81
  4. Step 4: Simplify right side
    5,789.28x = 32,052,561.41
  5. Step 5: Solve for x
    x = 32,052,561.41/5,789.28
  6. Step 6: Final answer
    x = 5,536.54

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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.