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Finding the Fourth Proportional to 3,865.66, 5,334.32 and 2,272.37

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Solution

The fourth proportional to 3,865.66, 5,334.32 and 2,272.37 is: 3,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.66 : 5,334.32 = 2,272.37 : x
  2. Step 2: Convert to fraction form
    3,865.66/5,334.32 = 2,272.37/x
  3. Step 3: Cross multiply
    3,865.66x = 5,334.32 × 2,272.37
  4. Step 4: Simplify right side
    3,865.66x = 12,121,552.23
  5. Step 5: Solve for x
    x = 12,121,552.23/3,865.66
  6. Step 6: Final answer
    x = 3,135.70

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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.