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Finding the Fourth Proportional to 5,643.46, 8,465.19 and 3,422.29

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Solution

The fourth proportional to 5,643.46, 8,465.19 and 3,422.29 is: 5,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.46 : 8,465.19 = 3,422.29 : x
  2. Step 2: Convert to fraction form
    5,643.46/8,465.19 = 3,422.29/x
  3. Step 3: Cross multiply
    5,643.46x = 8,465.19 × 3,422.29
  4. Step 4: Simplify right side
    5,643.46x = 28,970,335.09
  5. Step 5: Solve for x
    x = 28,970,335.09/5,643.46
  6. Step 6: Final answer
    x = 5,133.44

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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.