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Finding the Fourth Proportional to 3,649.66, 5,466.25 and 2,185.72

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Solution

The fourth proportional to 3,649.66, 5,466.25 and 2,185.72 is: 3,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.66 : 5,466.25 = 2,185.72 : x
  2. Step 2: Convert to fraction form
    3,649.66/5,466.25 = 2,185.72/x
  3. Step 3: Cross multiply
    3,649.66x = 5,466.25 × 2,185.72
  4. Step 4: Simplify right side
    3,649.66x = 11,947,691.95
  5. Step 5: Solve for x
    x = 11,947,691.95/3,649.66
  6. Step 6: Final answer
    x = 3,273.65

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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.