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Finding the Fourth Proportional to 5,829.30, 8,028.45 and 5,721.30

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Solution

The fourth proportional to 5,829.30, 8,028.45 and 5,721.30 is: 7,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.30 : 8,028.45 = 5,721.30 : x
  2. Step 2: Convert to fraction form
    5,829.30/8,028.45 = 5,721.30/x
  3. Step 3: Cross multiply
    5,829.30x = 8,028.45 × 5,721.30
  4. Step 4: Simplify right side
    5,829.30x = 45,933,170.99
  5. Step 5: Solve for x
    x = 45,933,170.99/5,829.30
  6. Step 6: Final answer
    x = 7,879.71

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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.