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Finding the Fourth Proportional to 5,931.97, 8,181.91 and 3,807.54

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Solution

The fourth proportional to 5,931.97, 8,181.91 and 3,807.54 is: 5,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.97 : 8,181.91 = 3,807.54 : x
  2. Step 2: Convert to fraction form
    5,931.97/8,181.91 = 3,807.54/x
  3. Step 3: Cross multiply
    5,931.97x = 8,181.91 × 3,807.54
  4. Step 4: Simplify right side
    5,931.97x = 31,152,954.36
  5. Step 5: Solve for x
    x = 31,152,954.36/5,931.97
  6. Step 6: Final answer
    x = 5,251.71

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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.