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Finding the Fourth Proportional to 3,926.93, 5,417.81 and 2,434.31

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Solution

The fourth proportional to 3,926.93, 5,417.81 and 2,434.31 is: 3,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.93 : 5,417.81 = 2,434.31 : x
  2. Step 2: Convert to fraction form
    3,926.93/5,417.81 = 2,434.31/x
  3. Step 3: Cross multiply
    3,926.93x = 5,417.81 × 2,434.31
  4. Step 4: Simplify right side
    3,926.93x = 13,188,589.80
  5. Step 5: Solve for x
    x = 13,188,589.80/3,926.93
  6. Step 6: Final answer
    x = 3,358.50

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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.