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Finding the Fourth Proportional to 3,552.34, 5,328.78 and 1,822.18

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Solution

The fourth proportional to 3,552.34, 5,328.78 and 1,822.18 is: 2,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.34 : 5,328.78 = 1,822.18 : x
  2. Step 2: Convert to fraction form
    3,552.34/5,328.78 = 1,822.18/x
  3. Step 3: Cross multiply
    3,552.34x = 5,328.78 × 1,822.18
  4. Step 4: Simplify right side
    3,552.34x = 9,709,996.34
  5. Step 5: Solve for x
    x = 9,709,996.34/3,552.34
  6. Step 6: Final answer
    x = 2,733.41

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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.