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Finding the Fourth Proportional to 3,962.06, 5,941.89 and 2,086.93

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Solution

The fourth proportional to 3,962.06, 5,941.89 and 2,086.93 is: 3,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.06 : 5,941.89 = 2,086.93 : x
  2. Step 2: Convert to fraction form
    3,962.06/5,941.89 = 2,086.93/x
  3. Step 3: Cross multiply
    3,962.06x = 5,941.89 × 2,086.93
  4. Step 4: Simplify right side
    3,962.06x = 12,400,308.50
  5. Step 5: Solve for x
    x = 12,400,308.50/3,962.06
  6. Step 6: Final answer
    x = 3,129.76

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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.