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Finding the Fourth Proportional to 5,497.16, 8,244 and 1,798.79

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Solution

The fourth proportional to 5,497.16, 8,244 and 1,798.79 is: 2,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.16 : 8,244 = 1,798.79 : x
  2. Step 2: Convert to fraction form
    5,497.16/8,244 = 1,798.79/x
  3. Step 3: Cross multiply
    5,497.16x = 8,244 × 1,798.79
  4. Step 4: Simplify right side
    5,497.16x = 14,829,183.54
  5. Step 5: Solve for x
    x = 14,829,183.54/5,497.16
  6. Step 6: Final answer
    x = 2,697.61

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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.