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Finding the Fourth Proportional to 3,887.72, 5,365.76 and 2,294.27

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Solution

The fourth proportional to 3,887.72, 5,365.76 and 2,294.27 is: 3,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.72 : 5,365.76 = 2,294.27 : x
  2. Step 2: Convert to fraction form
    3,887.72/5,365.76 = 2,294.27/x
  3. Step 3: Cross multiply
    3,887.72x = 5,365.76 × 2,294.27
  4. Step 4: Simplify right side
    3,887.72x = 12,310,484.02
  5. Step 5: Solve for x
    x = 12,310,484.02/3,887.72
  6. Step 6: Final answer
    x = 3,166.51

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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.