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Finding the Fourth Proportional to 5,753.40, 7,935.05 and 3,864.41

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Solution

The fourth proportional to 5,753.40, 7,935.05 and 3,864.41 is: 5,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.40 : 7,935.05 = 3,864.41 : x
  2. Step 2: Convert to fraction form
    5,753.40/7,935.05 = 3,864.41/x
  3. Step 3: Cross multiply
    5,753.40x = 7,935.05 × 3,864.41
  4. Step 4: Simplify right side
    5,753.40x = 30,664,227.57
  5. Step 5: Solve for x
    x = 30,664,227.57/5,753.40
  6. Step 6: Final answer
    x = 5,329.76

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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.