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Finding the Fourth Proportional to 5,659.64, 8,497.79 and 3,165.71

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Solution

The fourth proportional to 5,659.64, 8,497.79 and 3,165.71 is: 4,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.64 : 8,497.79 = 3,165.71 : x
  2. Step 2: Convert to fraction form
    5,659.64/8,497.79 = 3,165.71/x
  3. Step 3: Cross multiply
    5,659.64x = 8,497.79 × 3,165.71
  4. Step 4: Simplify right side
    5,659.64x = 26,901,556.07
  5. Step 5: Solve for x
    x = 26,901,556.07/5,659.64
  6. Step 6: Final answer
    x = 4,753.23

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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.