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Finding the Fourth Proportional to 3,433.71, 5,148.62 and 2,264.37

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Solution

The fourth proportional to 3,433.71, 5,148.62 and 2,264.37 is: 3,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.71 : 5,148.62 = 2,264.37 : x
  2. Step 2: Convert to fraction form
    3,433.71/5,148.62 = 2,264.37/x
  3. Step 3: Cross multiply
    3,433.71x = 5,148.62 × 2,264.37
  4. Step 4: Simplify right side
    3,433.71x = 11,658,369.35
  5. Step 5: Solve for x
    x = 11,658,369.35/3,433.71
  6. Step 6: Final answer
    x = 3,395.27

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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.