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Finding the Fourth Proportional to 3,774.66, 5,663.59 and 2,019.20

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Solution

The fourth proportional to 3,774.66, 5,663.59 and 2,019.20 is: 3,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.66 : 5,663.59 = 2,019.20 : x
  2. Step 2: Convert to fraction form
    3,774.66/5,663.59 = 2,019.20/x
  3. Step 3: Cross multiply
    3,774.66x = 5,663.59 × 2,019.20
  4. Step 4: Simplify right side
    3,774.66x = 11,435,910.83
  5. Step 5: Solve for x
    x = 11,435,910.83/3,774.66
  6. Step 6: Final answer
    x = 3,029.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.