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Finding the Fourth Proportional to 3,532.60, 5,295.38 and 1,772.22

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Solution

The fourth proportional to 3,532.60, 5,295.38 and 1,772.22 is: 2,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.60 : 5,295.38 = 1,772.22 : x
  2. Step 2: Convert to fraction form
    3,532.60/5,295.38 = 1,772.22/x
  3. Step 3: Cross multiply
    3,532.60x = 5,295.38 × 1,772.22
  4. Step 4: Simplify right side
    3,532.60x = 9,384,578.34
  5. Step 5: Solve for x
    x = 9,384,578.34/3,532.60
  6. Step 6: Final answer
    x = 2,656.56

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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.