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Finding the Fourth Proportional to 5,797.60, 8,696.61 and 4,911.86

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Solution

The fourth proportional to 5,797.60, 8,696.61 and 4,911.86 is: 7,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.60 : 8,696.61 = 4,911.86 : x
  2. Step 2: Convert to fraction form
    5,797.60/8,696.61 = 4,911.86/x
  3. Step 3: Cross multiply
    5,797.60x = 8,696.61 × 4,911.86
  4. Step 4: Simplify right side
    5,797.60x = 42,716,552.54
  5. Step 5: Solve for x
    x = 42,716,552.54/5,797.60
  6. Step 6: Final answer
    x = 7,367.97

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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.