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Finding the Fourth Proportional to 5,797.96, 8,696.14 and 3,458.27

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Solution

The fourth proportional to 5,797.96, 8,696.14 and 3,458.27 is: 5,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.96 : 8,696.14 = 3,458.27 : x
  2. Step 2: Convert to fraction form
    5,797.96/8,696.14 = 3,458.27/x
  3. Step 3: Cross multiply
    5,797.96x = 8,696.14 × 3,458.27
  4. Step 4: Simplify right side
    5,797.96x = 30,073,613.17
  5. Step 5: Solve for x
    x = 30,073,613.17/5,797.96
  6. Step 6: Final answer
    x = 5,186.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.