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Finding the Fourth Proportional to 5,254.84, 7,883.88 and 3,794.50

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Solution

The fourth proportional to 5,254.84, 7,883.88 and 3,794.50 is: 5,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.84 : 7,883.88 = 3,794.50 : x
  2. Step 2: Convert to fraction form
    5,254.84/7,883.88 = 3,794.50/x
  3. Step 3: Cross multiply
    5,254.84x = 7,883.88 × 3,794.50
  4. Step 4: Simplify right side
    5,254.84x = 29,915,382.66
  5. Step 5: Solve for x
    x = 29,915,382.66/5,254.84
  6. Step 6: Final answer
    x = 5,692.92

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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.