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Finding the Fourth Proportional to 6,958.54, 10,434.38 and 3,444.48

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Solution

The fourth proportional to 6,958.54, 10,434.38 and 3,444.48 is: 5,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.54 : 10,434.38 = 3,444.48 : x
  2. Step 2: Convert to fraction form
    6,958.54/10,434.38 = 3,444.48/x
  3. Step 3: Cross multiply
    6,958.54x = 10,434.38 × 3,444.48
  4. Step 4: Simplify right side
    6,958.54x = 35,941,013.22
  5. Step 5: Solve for x
    x = 35,941,013.22/6,958.54
  6. Step 6: Final answer
    x = 5,165.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.