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Finding the Fourth Proportional to 3,571.22, 5,356.80 and 974.16

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Solution

The fourth proportional to 3,571.22, 5,356.80 and 974.16 is: 1,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.22 : 5,356.80 = 974.16 : x
  2. Step 2: Convert to fraction form
    3,571.22/5,356.80 = 974.16/x
  3. Step 3: Cross multiply
    3,571.22x = 5,356.80 × 974.16
  4. Step 4: Simplify right side
    3,571.22x = 5,218,380.29
  5. Step 5: Solve for x
    x = 5,218,380.29/3,571.22
  6. Step 6: Final answer
    x = 1,461.23

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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.