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Finding the Fourth Proportional to 5,634.92, 7,776.92 and 3,482.80

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Solution

The fourth proportional to 5,634.92, 7,776.92 and 3,482.80 is: 4,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.92 : 7,776.92 = 3,482.80 : x
  2. Step 2: Convert to fraction form
    5,634.92/7,776.92 = 3,482.80/x
  3. Step 3: Cross multiply
    5,634.92x = 7,776.92 × 3,482.80
  4. Step 4: Simplify right side
    5,634.92x = 27,085,446.24
  5. Step 5: Solve for x
    x = 27,085,446.24/5,634.92
  6. Step 6: Final answer
    x = 4,806.71

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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.