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Finding the Fourth Proportional to 3,954.24, 5,931.34 and 3,713.67

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Solution

The fourth proportional to 3,954.24, 5,931.34 and 3,713.67 is: 5,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.24 : 5,931.34 = 3,713.67 : x
  2. Step 2: Convert to fraction form
    3,954.24/5,931.34 = 3,713.67/x
  3. Step 3: Cross multiply
    3,954.24x = 5,931.34 × 3,713.67
  4. Step 4: Simplify right side
    3,954.24x = 22,027,039.42
  5. Step 5: Solve for x
    x = 22,027,039.42/3,954.24
  6. Step 6: Final answer
    x = 5,570.49

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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.