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Finding the Fourth Proportional to 5,164.37, 7,744.19 and 1,653.69

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Solution

The fourth proportional to 5,164.37, 7,744.19 and 1,653.69 is: 2,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.37 : 7,744.19 = 1,653.69 : x
  2. Step 2: Convert to fraction form
    5,164.37/7,744.19 = 1,653.69/x
  3. Step 3: Cross multiply
    5,164.37x = 7,744.19 × 1,653.69
  4. Step 4: Simplify right side
    5,164.37x = 12,806,481.29
  5. Step 5: Solve for x
    x = 12,806,481.29/5,164.37
  6. Step 6: Final answer
    x = 2,479.78

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