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Finding the Fourth Proportional to 6,028.71, 9,022.82 and 5,798.67

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Solution

The fourth proportional to 6,028.71, 9,022.82 and 5,798.67 is: 8,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.71 : 9,022.82 = 5,798.67 : x
  2. Step 2: Convert to fraction form
    6,028.71/9,022.82 = 5,798.67/x
  3. Step 3: Cross multiply
    6,028.71x = 9,022.82 × 5,798.67
  4. Step 4: Simplify right side
    6,028.71x = 52,320,326.66
  5. Step 5: Solve for x
    x = 52,320,326.66/6,028.71
  6. Step 6: Final answer
    x = 8,678.53

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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.