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Finding the Fourth Proportional to 5,928.71, 8,179.07 and 3,410.24

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Solution

The fourth proportional to 5,928.71, 8,179.07 and 3,410.24 is: 4,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.71 : 8,179.07 = 3,410.24 : x
  2. Step 2: Convert to fraction form
    5,928.71/8,179.07 = 3,410.24/x
  3. Step 3: Cross multiply
    5,928.71x = 8,179.07 × 3,410.24
  4. Step 4: Simplify right side
    5,928.71x = 27,892,533.73
  5. Step 5: Solve for x
    x = 27,892,533.73/5,928.71
  6. Step 6: Final answer
    x = 4,704.66

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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.