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Finding the Fourth Proportional to 3,883.68, 5,827.50 and 2,241.72

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Solution

The fourth proportional to 3,883.68, 5,827.50 and 2,241.72 is: 3,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.68 : 5,827.50 = 2,241.72 : x
  2. Step 2: Convert to fraction form
    3,883.68/5,827.50 = 2,241.72/x
  3. Step 3: Cross multiply
    3,883.68x = 5,827.50 × 2,241.72
  4. Step 4: Simplify right side
    3,883.68x = 13,063,623.30
  5. Step 5: Solve for x
    x = 13,063,623.30/3,883.68
  6. Step 6: Final answer
    x = 3,363.72

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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.