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Finding the Fourth Proportional to 3,817.64, 5,267.36 and 2,245.42

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Solution

The fourth proportional to 3,817.64, 5,267.36 and 2,245.42 is: 3,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.64 : 5,267.36 = 2,245.42 : x
  2. Step 2: Convert to fraction form
    3,817.64/5,267.36 = 2,245.42/x
  3. Step 3: Cross multiply
    3,817.64x = 5,267.36 × 2,245.42
  4. Step 4: Simplify right side
    3,817.64x = 11,827,435.49
  5. Step 5: Solve for x
    x = 11,827,435.49/3,817.64
  6. Step 6: Final answer
    x = 3,098.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.