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Finding the Fourth Proportional to 3,928.71, 5,893.03 and 1,006.97

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Solution

The fourth proportional to 3,928.71, 5,893.03 and 1,006.97 is: 1,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.71 : 5,893.03 = 1,006.97 : x
  2. Step 2: Convert to fraction form
    3,928.71/5,893.03 = 1,006.97/x
  3. Step 3: Cross multiply
    3,928.71x = 5,893.03 × 1,006.97
  4. Step 4: Simplify right side
    3,928.71x = 5,934,099.38
  5. Step 5: Solve for x
    x = 5,934,099.38/3,928.71
  6. Step 6: Final answer
    x = 1,510.44

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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.