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Finding the Fourth Proportional to 3,522.34, 5,283.94 and 1,647.28

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Solution

The fourth proportional to 3,522.34, 5,283.94 and 1,647.28 is: 2,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.34 : 5,283.94 = 1,647.28 : x
  2. Step 2: Convert to fraction form
    3,522.34/5,283.94 = 1,647.28/x
  3. Step 3: Cross multiply
    3,522.34x = 5,283.94 × 1,647.28
  4. Step 4: Simplify right side
    3,522.34x = 8,704,128.68
  5. Step 5: Solve for x
    x = 8,704,128.68/3,522.34
  6. Step 6: Final answer
    x = 2,471.12

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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.