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Finding the Fourth Proportional to 6,399.62, 8,831.57 and 3,566.91

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Solution

The fourth proportional to 6,399.62, 8,831.57 and 3,566.91 is: 4,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.62 : 8,831.57 = 3,566.91 : x
  2. Step 2: Convert to fraction form
    6,399.62/8,831.57 = 3,566.91/x
  3. Step 3: Cross multiply
    6,399.62x = 8,831.57 × 3,566.91
  4. Step 4: Simplify right side
    6,399.62x = 31,501,437.43
  5. Step 5: Solve for x
    x = 31,501,437.43/6,399.62
  6. Step 6: Final answer
    x = 4,922.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.