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Finding the Fourth Proportional to 5,685.79, 7,843.66 and 3,696.97

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Solution

The fourth proportional to 5,685.79, 7,843.66 and 3,696.97 is: 5,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.79 : 7,843.66 = 3,696.97 : x
  2. Step 2: Convert to fraction form
    5,685.79/7,843.66 = 3,696.97/x
  3. Step 3: Cross multiply
    5,685.79x = 7,843.66 × 3,696.97
  4. Step 4: Simplify right side
    5,685.79x = 28,997,775.71
  5. Step 5: Solve for x
    x = 28,997,775.71/5,685.79
  6. Step 6: Final answer
    x = 5,100.04

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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.