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Finding the Fourth Proportional to 5,984.48, 8,973.84 and 2,519.84

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Solution

The fourth proportional to 5,984.48, 8,973.84 and 2,519.84 is: 3,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.48 : 8,973.84 = 2,519.84 : x
  2. Step 2: Convert to fraction form
    5,984.48/8,973.84 = 2,519.84/x
  3. Step 3: Cross multiply
    5,984.48x = 8,973.84 × 2,519.84
  4. Step 4: Simplify right side
    5,984.48x = 22,612,640.99
  5. Step 5: Solve for x
    x = 22,612,640.99/5,984.48
  6. Step 6: Final answer
    x = 3,778.55

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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.