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Finding the Fourth Proportional to 3,773.64, 5,663.79 and 2,020.08

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Solution

The fourth proportional to 3,773.64, 5,663.79 and 2,020.08 is: 3,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.64 : 5,663.79 = 2,020.08 : x
  2. Step 2: Convert to fraction form
    3,773.64/5,663.79 = 2,020.08/x
  3. Step 3: Cross multiply
    3,773.64x = 5,663.79 × 2,020.08
  4. Step 4: Simplify right side
    3,773.64x = 11,441,308.90
  5. Step 5: Solve for x
    x = 11,441,308.90/3,773.64
  6. Step 6: Final answer
    x = 3,031.90

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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.