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Finding the Fourth Proportional to 5,794.84, 8,692.17 and 2,332

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Solution

The fourth proportional to 5,794.84, 8,692.17 and 2,332 is: 3,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.84 : 8,692.17 = 2,332 : x
  2. Step 2: Convert to fraction form
    5,794.84/8,692.17 = 2,332/x
  3. Step 3: Cross multiply
    5,794.84x = 8,692.17 × 2,332
  4. Step 4: Simplify right side
    5,794.84x = 20,270,140.44
  5. Step 5: Solve for x
    x = 20,270,140.44/5,794.84
  6. Step 6: Final answer
    x = 3,497.96

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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.