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Finding the Fourth Proportional to 3,571.98, 5,358.12 and 974.91

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Solution

The fourth proportional to 3,571.98, 5,358.12 and 974.91 is: 1,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.98 : 5,358.12 = 974.91 : x
  2. Step 2: Convert to fraction form
    3,571.98/5,358.12 = 974.91/x
  3. Step 3: Cross multiply
    3,571.98x = 5,358.12 × 974.91
  4. Step 4: Simplify right side
    3,571.98x = 5,223,684.77
  5. Step 5: Solve for x
    x = 5,223,684.77/3,571.98
  6. Step 6: Final answer
    x = 1,462.41

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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.