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Finding the Fourth Proportional to 3,847.15, 5,309.13 and 2,334.74

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Solution

The fourth proportional to 3,847.15, 5,309.13 and 2,334.74 is: 3,221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.15 : 5,309.13 = 2,334.74 : x
  2. Step 2: Convert to fraction form
    3,847.15/5,309.13 = 2,334.74/x
  3. Step 3: Cross multiply
    3,847.15x = 5,309.13 × 2,334.74
  4. Step 4: Simplify right side
    3,847.15x = 12,395,424.57
  5. Step 5: Solve for x
    x = 12,395,424.57/3,847.15
  6. Step 6: Final answer
    x = 3,221.98

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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.