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Finding the Fourth Proportional to 5,976.74, 8,962.05 and 3,512.30

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Solution

The fourth proportional to 5,976.74, 8,962.05 and 3,512.30 is: 5,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.74 : 8,962.05 = 3,512.30 : x
  2. Step 2: Convert to fraction form
    5,976.74/8,962.05 = 3,512.30/x
  3. Step 3: Cross multiply
    5,976.74x = 8,962.05 × 3,512.30
  4. Step 4: Simplify right side
    5,976.74x = 31,477,408.22
  5. Step 5: Solve for x
    x = 31,477,408.22/5,976.74
  6. Step 6: Final answer
    x = 5,266.65

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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.