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Finding the Fourth Proportional to 5,165.60, 7,139.03 and 3,906.23

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Solution

The fourth proportional to 5,165.60, 7,139.03 and 3,906.23 is: 5,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.60 : 7,139.03 = 3,906.23 : x
  2. Step 2: Convert to fraction form
    5,165.60/7,139.03 = 3,906.23/x
  3. Step 3: Cross multiply
    5,165.60x = 7,139.03 × 3,906.23
  4. Step 4: Simplify right side
    5,165.60x = 27,886,637.93
  5. Step 5: Solve for x
    x = 27,886,637.93/5,165.60
  6. Step 6: Final answer
    x = 5,398.53

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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.