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Finding the Fourth Proportional to 3,649.70, 5,474.55 and 2,188.10

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Solution

The fourth proportional to 3,649.70, 5,474.55 and 2,188.10 is: 3,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.70 : 5,474.55 = 2,188.10 : x
  2. Step 2: Convert to fraction form
    3,649.70/5,474.55 = 2,188.10/x
  3. Step 3: Cross multiply
    3,649.70x = 5,474.55 × 2,188.10
  4. Step 4: Simplify right side
    3,649.70x = 11,978,862.86
  5. Step 5: Solve for x
    x = 11,978,862.86/3,649.70
  6. Step 6: Final answer
    x = 3,282.15

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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.