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Finding the Fourth Proportional to 5,744.60, 8,618.95 and 2,824.95

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Solution

The fourth proportional to 5,744.60, 8,618.95 and 2,824.95 is: 4,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.60 : 8,618.95 = 2,824.95 : x
  2. Step 2: Convert to fraction form
    5,744.60/8,618.95 = 2,824.95/x
  3. Step 3: Cross multiply
    5,744.60x = 8,618.95 × 2,824.95
  4. Step 4: Simplify right side
    5,744.60x = 24,348,102.80
  5. Step 5: Solve for x
    x = 24,348,102.80/5,744.60
  6. Step 6: Final answer
    x = 4,238.43

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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.