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Finding the Fourth Proportional to 5,443.18, 8,169.51 and 3,107.86

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Solution

The fourth proportional to 5,443.18, 8,169.51 and 3,107.86 is: 4,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.18 : 8,169.51 = 3,107.86 : x
  2. Step 2: Convert to fraction form
    5,443.18/8,169.51 = 3,107.86/x
  3. Step 3: Cross multiply
    5,443.18x = 8,169.51 × 3,107.86
  4. Step 4: Simplify right side
    5,443.18x = 25,389,693.35
  5. Step 5: Solve for x
    x = 25,389,693.35/5,443.18
  6. Step 6: Final answer
    x = 4,664.50

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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.