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Finding the Fourth Proportional to 5,828.91, 8,743.21 and 1,446.32

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Solution

The fourth proportional to 5,828.91, 8,743.21 and 1,446.32 is: 2,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.91 : 8,743.21 = 1,446.32 : x
  2. Step 2: Convert to fraction form
    5,828.91/8,743.21 = 1,446.32/x
  3. Step 3: Cross multiply
    5,828.91x = 8,743.21 × 1,446.32
  4. Step 4: Simplify right side
    5,828.91x = 12,645,479.49
  5. Step 5: Solve for x
    x = 12,645,479.49/5,828.91
  6. Step 6: Final answer
    x = 2,169.44

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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.