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Finding the Fourth Proportional to 5,747.92, 7,923.14 and 4,806.84

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Solution

The fourth proportional to 5,747.92, 7,923.14 and 4,806.84 is: 6,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.92 : 7,923.14 = 4,806.84 : x
  2. Step 2: Convert to fraction form
    5,747.92/7,923.14 = 4,806.84/x
  3. Step 3: Cross multiply
    5,747.92x = 7,923.14 × 4,806.84
  4. Step 4: Simplify right side
    5,747.92x = 38,085,266.28
  5. Step 5: Solve for x
    x = 38,085,266.28/5,747.92
  6. Step 6: Final answer
    x = 6,625.92

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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.