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Finding the Fourth Proportional to 3,427.01, 5,136.62 and 2,256.86

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Solution

The fourth proportional to 3,427.01, 5,136.62 and 2,256.86 is: 3,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.01 : 5,136.62 = 2,256.86 : x
  2. Step 2: Convert to fraction form
    3,427.01/5,136.62 = 2,256.86/x
  3. Step 3: Cross multiply
    3,427.01x = 5,136.62 × 2,256.86
  4. Step 4: Simplify right side
    3,427.01x = 11,592,633.77
  5. Step 5: Solve for x
    x = 11,592,633.77/3,427.01
  6. Step 6: Final answer
    x = 3,382.73

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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.