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Finding the Fourth Proportional to 3,847.59, 5,773.82 and 2,207.34

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Solution

The fourth proportional to 3,847.59, 5,773.82 and 2,207.34 is: 3,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.59 : 5,773.82 = 2,207.34 : x
  2. Step 2: Convert to fraction form
    3,847.59/5,773.82 = 2,207.34/x
  3. Step 3: Cross multiply
    3,847.59x = 5,773.82 × 2,207.34
  4. Step 4: Simplify right side
    3,847.59x = 12,744,783.84
  5. Step 5: Solve for x
    x = 12,744,783.84/3,847.59
  6. Step 6: Final answer
    x = 3,312.41

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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.