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Finding the Fourth Proportional to 3,571.55, 5,357.24 and 974.49

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Solution

The fourth proportional to 3,571.55, 5,357.24 and 974.49 is: 1,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.55 : 5,357.24 = 974.49 : x
  2. Step 2: Convert to fraction form
    3,571.55/5,357.24 = 974.49/x
  3. Step 3: Cross multiply
    3,571.55x = 5,357.24 × 974.49
  4. Step 4: Simplify right side
    3,571.55x = 5,220,576.81
  5. Step 5: Solve for x
    x = 5,220,576.81/3,571.55
  6. Step 6: Final answer
    x = 1,461.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.