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Finding the Fourth Proportional to 3,571.12, 5,356.52 and 974.06

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Solution

The fourth proportional to 3,571.12, 5,356.52 and 974.06 is: 1,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.12 : 5,356.52 = 974.06 : x
  2. Step 2: Convert to fraction form
    3,571.12/5,356.52 = 974.06/x
  3. Step 3: Cross multiply
    3,571.12x = 5,356.52 × 974.06
  4. Step 4: Simplify right side
    3,571.12x = 5,217,571.87
  5. Step 5: Solve for x
    x = 5,217,571.87/3,571.12
  6. Step 6: Final answer
    x = 1,461.05

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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.