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Finding the Fourth Proportional to 3,642.82, 5,466.60 and 2,000.50

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Solution

The fourth proportional to 3,642.82, 5,466.60 and 2,000.50 is: 3,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.82 : 5,466.60 = 2,000.50 : x
  2. Step 2: Convert to fraction form
    3,642.82/5,466.60 = 2,000.50/x
  3. Step 3: Cross multiply
    3,642.82x = 5,466.60 × 2,000.50
  4. Step 4: Simplify right side
    3,642.82x = 10,935,933.30
  5. Step 5: Solve for x
    x = 10,935,933.30/3,642.82
  6. Step 6: Final answer
    x = 3,002.05

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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.