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Finding the Fourth Proportional to 3,219.72, 4,829.57 and 1,028.61

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Solution

The fourth proportional to 3,219.72, 4,829.57 and 1,028.61 is: 1,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.72 : 4,829.57 = 1,028.61 : x
  2. Step 2: Convert to fraction form
    3,219.72/4,829.57 = 1,028.61/x
  3. Step 3: Cross multiply
    3,219.72x = 4,829.57 × 1,028.61
  4. Step 4: Simplify right side
    3,219.72x = 4,967,742.71
  5. Step 5: Solve for x
    x = 4,967,742.71/3,219.72
  6. Step 6: Final answer
    x = 1,542.91

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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.