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Finding the Fourth Proportional to 3,284.83, 4,532.83 and 1,868.55

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Solution

The fourth proportional to 3,284.83, 4,532.83 and 1,868.55 is: 2,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.83 : 4,532.83 = 1,868.55 : x
  2. Step 2: Convert to fraction form
    3,284.83/4,532.83 = 1,868.55/x
  3. Step 3: Cross multiply
    3,284.83x = 4,532.83 × 1,868.55
  4. Step 4: Simplify right side
    3,284.83x = 8,469,819.50
  5. Step 5: Solve for x
    x = 8,469,819.50/3,284.83
  6. Step 6: Final answer
    x = 2,578.47

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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.