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Finding the Fourth Proportional to 3,443.12, 5,164.56 and 1,689.44

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Solution

The fourth proportional to 3,443.12, 5,164.56 and 1,689.44 is: 2,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.12 : 5,164.56 = 1,689.44 : x
  2. Step 2: Convert to fraction form
    3,443.12/5,164.56 = 1,689.44/x
  3. Step 3: Cross multiply
    3,443.12x = 5,164.56 × 1,689.44
  4. Step 4: Simplify right side
    3,443.12x = 8,725,214.25
  5. Step 5: Solve for x
    x = 8,725,214.25/3,443.12
  6. Step 6: Final answer
    x = 2,534.10

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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.