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Finding the Fourth Proportional to 3,887.86, 5,365.28 and 2,294.54

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Solution

The fourth proportional to 3,887.86, 5,365.28 and 2,294.54 is: 3,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.86 : 5,365.28 = 2,294.54 : x
  2. Step 2: Convert to fraction form
    3,887.86/5,365.28 = 2,294.54/x
  3. Step 3: Cross multiply
    3,887.86x = 5,365.28 × 2,294.54
  4. Step 4: Simplify right side
    3,887.86x = 12,310,838.10
  5. Step 5: Solve for x
    x = 12,310,838.10/3,887.86
  6. Step 6: Final answer
    x = 3,166.49

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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.