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Finding the Fourth Proportional to 3,284.20, 4,532.31 and 1,792.20

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Solution

The fourth proportional to 3,284.20, 4,532.31 and 1,792.20 is: 2,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.20 : 4,532.31 = 1,792.20 : x
  2. Step 2: Convert to fraction form
    3,284.20/4,532.31 = 1,792.20/x
  3. Step 3: Cross multiply
    3,284.20x = 4,532.31 × 1,792.20
  4. Step 4: Simplify right side
    3,284.20x = 8,122,774.36
  5. Step 5: Solve for x
    x = 8,122,774.36/3,284.20
  6. Step 6: Final answer
    x = 2,473.29

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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.