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Finding the Fourth Proportional to 3,571.99, 5,357.96 and 974.92

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Solution

The fourth proportional to 3,571.99, 5,357.96 and 974.92 is: 1,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.99 : 5,357.96 = 974.92 : x
  2. Step 2: Convert to fraction form
    3,571.99/5,357.96 = 974.92/x
  3. Step 3: Cross multiply
    3,571.99x = 5,357.96 × 974.92
  4. Step 4: Simplify right side
    3,571.99x = 5,223,582.36
  5. Step 5: Solve for x
    x = 5,223,582.36/3,571.99
  6. Step 6: Final answer
    x = 1,462.37

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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.