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Finding the Fourth Proportional to 5,162.64, 7,744.77 and 2,699.52

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Solution

The fourth proportional to 5,162.64, 7,744.77 and 2,699.52 is: 4,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.64 : 7,744.77 = 2,699.52 : x
  2. Step 2: Convert to fraction form
    5,162.64/7,744.77 = 2,699.52/x
  3. Step 3: Cross multiply
    5,162.64x = 7,744.77 × 2,699.52
  4. Step 4: Simplify right side
    5,162.64x = 20,907,161.51
  5. Step 5: Solve for x
    x = 20,907,161.51/5,162.64
  6. Step 6: Final answer
    x = 4,049.70

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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.