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Finding the Fourth Proportional to 5,359.97, 8,040.19 and 1,664.70

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Solution

The fourth proportional to 5,359.97, 8,040.19 and 1,664.70 is: 2,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.97 : 8,040.19 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    5,359.97/8,040.19 = 1,664.70/x
  3. Step 3: Cross multiply
    5,359.97x = 8,040.19 × 1,664.70
  4. Step 4: Simplify right side
    5,359.97x = 13,384,513.65
  5. Step 5: Solve for x
    x = 13,384,513.65/5,359.97
  6. Step 6: Final answer
    x = 2,497.12

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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.