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Finding the Fourth Proportional to 3,670.58, 5,501 and 2,000.42

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Solution

The fourth proportional to 3,670.58, 5,501 and 2,000.42 is: 2,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.58 : 5,501 = 2,000.42 : x
  2. Step 2: Convert to fraction form
    3,670.58/5,501 = 2,000.42/x
  3. Step 3: Cross multiply
    3,670.58x = 5,501 × 2,000.42
  4. Step 4: Simplify right side
    3,670.58x = 11,004,310.42
  5. Step 5: Solve for x
    x = 11,004,310.42/3,670.58
  6. Step 6: Final answer
    x = 2,997.98

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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.