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Finding the Fourth Proportional to 3,522.54, 5,283.78 and 1,057.26

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Solution

The fourth proportional to 3,522.54, 5,283.78 and 1,057.26 is: 1,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.54 : 5,283.78 = 1,057.26 : x
  2. Step 2: Convert to fraction form
    3,522.54/5,283.78 = 1,057.26/x
  3. Step 3: Cross multiply
    3,522.54x = 5,283.78 × 1,057.26
  4. Step 4: Simplify right side
    3,522.54x = 5,586,329.24
  5. Step 5: Solve for x
    x = 5,586,329.24/3,522.54
  6. Step 6: Final answer
    x = 1,585.88

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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.