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Finding the Fourth Proportional to 3,880.76, 5,822.66 and 2,236.41

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Solution

The fourth proportional to 3,880.76, 5,822.66 and 2,236.41 is: 3,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.76 : 5,822.66 = 2,236.41 : x
  2. Step 2: Convert to fraction form
    3,880.76/5,822.66 = 2,236.41/x
  3. Step 3: Cross multiply
    3,880.76x = 5,822.66 × 2,236.41
  4. Step 4: Simplify right side
    3,880.76x = 13,021,854.35
  5. Step 5: Solve for x
    x = 13,021,854.35/3,880.76
  6. Step 6: Final answer
    x = 3,355.49

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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.