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Finding the Fourth Proportional to 3,817.44, 5,267.98 and 2,245.64

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Solution

The fourth proportional to 3,817.44, 5,267.98 and 2,245.64 is: 3,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.44 : 5,267.98 = 2,245.64 : x
  2. Step 2: Convert to fraction form
    3,817.44/5,267.98 = 2,245.64/x
  3. Step 3: Cross multiply
    3,817.44x = 5,267.98 × 2,245.64
  4. Step 4: Simplify right side
    3,817.44x = 11,829,986.61
  5. Step 5: Solve for x
    x = 11,829,986.61/3,817.44
  6. Step 6: Final answer
    x = 3,098.93

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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.