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Finding the Fourth Proportional to 3,847.43, 5,309.07 and 2,355.77

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Solution

The fourth proportional to 3,847.43, 5,309.07 and 2,355.77 is: 3,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.43 : 5,309.07 = 2,355.77 : x
  2. Step 2: Convert to fraction form
    3,847.43/5,309.07 = 2,355.77/x
  3. Step 3: Cross multiply
    3,847.43x = 5,309.07 × 2,355.77
  4. Step 4: Simplify right side
    3,847.43x = 12,506,947.83
  5. Step 5: Solve for x
    x = 12,506,947.83/3,847.43
  6. Step 6: Final answer
    x = 3,250.73

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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.