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Finding the Fourth Proportional to 3,522.46, 5,284.56 and 1,057.32

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Solution

The fourth proportional to 3,522.46, 5,284.56 and 1,057.32 is: 1,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.46 : 5,284.56 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    3,522.46/5,284.56 = 1,057.32/x
  3. Step 3: Cross multiply
    3,522.46x = 5,284.56 × 1,057.32
  4. Step 4: Simplify right side
    3,522.46x = 5,587,470.98
  5. Step 5: Solve for x
    x = 5,587,470.98/3,522.46
  6. Step 6: Final answer
    x = 1,586.24

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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.