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Finding the Fourth Proportional to 5,689.40, 8,528.46 and 2,724.41

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Solution

The fourth proportional to 5,689.40, 8,528.46 and 2,724.41 is: 4,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.40 : 8,528.46 = 2,724.41 : x
  2. Step 2: Convert to fraction form
    5,689.40/8,528.46 = 2,724.41/x
  3. Step 3: Cross multiply
    5,689.40x = 8,528.46 × 2,724.41
  4. Step 4: Simplify right side
    5,689.40x = 23,234,979.07
  5. Step 5: Solve for x
    x = 23,234,979.07/5,689.40
  6. Step 6: Final answer
    x = 4,083.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.