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Finding the Fourth Proportional to 5,009.54, 6,906.75 and 3,434.90

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Solution

The fourth proportional to 5,009.54, 6,906.75 and 3,434.90 is: 4,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.54 : 6,906.75 = 3,434.90 : x
  2. Step 2: Convert to fraction form
    5,009.54/6,906.75 = 3,434.90/x
  3. Step 3: Cross multiply
    5,009.54x = 6,906.75 × 3,434.90
  4. Step 4: Simplify right side
    5,009.54x = 23,723,995.58
  5. Step 5: Solve for x
    x = 23,723,995.58/5,009.54
  6. Step 6: Final answer
    x = 4,735.76

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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.