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Finding the Fourth Proportional to 3,522.34, 5,283.68 and 1,961.17

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Solution

The fourth proportional to 3,522.34, 5,283.68 and 1,961.17 is: 2,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.34 : 5,283.68 = 1,961.17 : x
  2. Step 2: Convert to fraction form
    3,522.34/5,283.68 = 1,961.17/x
  3. Step 3: Cross multiply
    3,522.34x = 5,283.68 × 1,961.17
  4. Step 4: Simplify right side
    3,522.34x = 10,362,189.31
  5. Step 5: Solve for x
    x = 10,362,189.31/3,522.34
  6. Step 6: Final answer
    x = 2,941.85

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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.