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Finding the Fourth Proportional to 3,424.27, 5,135.65 and 958.43

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Solution

The fourth proportional to 3,424.27, 5,135.65 and 958.43 is: 1,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.27 : 5,135.65 = 958.43 : x
  2. Step 2: Convert to fraction form
    3,424.27/5,135.65 = 958.43/x
  3. Step 3: Cross multiply
    3,424.27x = 5,135.65 × 958.43
  4. Step 4: Simplify right side
    3,424.27x = 4,922,161.03
  5. Step 5: Solve for x
    x = 4,922,161.03/3,424.27
  6. Step 6: Final answer
    x = 1,437.43

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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.