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Finding the Fourth Proportional to 5,797.71, 7,994.94 and 4,961.18

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Solution

The fourth proportional to 5,797.71, 7,994.94 and 4,961.18 is: 6,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.71 : 7,994.94 = 4,961.18 : x
  2. Step 2: Convert to fraction form
    5,797.71/7,994.94 = 4,961.18/x
  3. Step 3: Cross multiply
    5,797.71x = 7,994.94 × 4,961.18
  4. Step 4: Simplify right side
    5,797.71x = 39,664,336.43
  5. Step 5: Solve for x
    x = 39,664,336.43/5,797.71
  6. Step 6: Final answer
    x = 6,841.38

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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.