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Finding the Fourth Proportional to 5,931.68, 8,192.20 and 3,950.64

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Solution

The fourth proportional to 5,931.68, 8,192.20 and 3,950.64 is: 5,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.68 : 8,192.20 = 3,950.64 : x
  2. Step 2: Convert to fraction form
    5,931.68/8,192.20 = 3,950.64/x
  3. Step 3: Cross multiply
    5,931.68x = 8,192.20 × 3,950.64
  4. Step 4: Simplify right side
    5,931.68x = 32,364,433.01
  5. Step 5: Solve for x
    x = 32,364,433.01/5,931.68
  6. Step 6: Final answer
    x = 5,456.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.