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Finding the Fourth Proportional to 5,708.33, 7,847.22 and 4,908.71

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Solution

The fourth proportional to 5,708.33, 7,847.22 and 4,908.71 is: 6,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.33 : 7,847.22 = 4,908.71 : x
  2. Step 2: Convert to fraction form
    5,708.33/7,847.22 = 4,908.71/x
  3. Step 3: Cross multiply
    5,708.33x = 7,847.22 × 4,908.71
  4. Step 4: Simplify right side
    5,708.33x = 38,519,706.46
  5. Step 5: Solve for x
    x = 38,519,706.46/5,708.33
  6. Step 6: Final answer
    x = 6,747.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.