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Finding the Fourth Proportional to 5,446.09, 8,169.14 and 1,550.50

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Solution

The fourth proportional to 5,446.09, 8,169.14 and 1,550.50 is: 2,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.09 : 8,169.14 = 1,550.50 : x
  2. Step 2: Convert to fraction form
    5,446.09/8,169.14 = 1,550.50/x
  3. Step 3: Cross multiply
    5,446.09x = 8,169.14 × 1,550.50
  4. Step 4: Simplify right side
    5,446.09x = 12,666,253.64
  5. Step 5: Solve for x
    x = 12,666,253.64/5,446.09
  6. Step 6: Final answer
    x = 2,325.75

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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.