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Finding the Fourth Proportional to 3,847.73, 5,307.96 and 2,411.84

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Solution

The fourth proportional to 3,847.73, 5,307.96 and 2,411.84 is: 3,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.73 : 5,307.96 = 2,411.84 : x
  2. Step 2: Convert to fraction form
    3,847.73/5,307.96 = 2,411.84/x
  3. Step 3: Cross multiply
    3,847.73x = 5,307.96 × 2,411.84
  4. Step 4: Simplify right side
    3,847.73x = 12,801,950.25
  5. Step 5: Solve for x
    x = 12,801,950.25/3,847.73
  6. Step 6: Final answer
    x = 3,327.14

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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.