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Finding the Fourth Proportional to 6,399.36, 8,830.38 and 3,566.28

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Solution

The fourth proportional to 6,399.36, 8,830.38 and 3,566.28 is: 4,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.36 : 8,830.38 = 3,566.28 : x
  2. Step 2: Convert to fraction form
    6,399.36/8,830.38 = 3,566.28/x
  3. Step 3: Cross multiply
    6,399.36x = 8,830.38 × 3,566.28
  4. Step 4: Simplify right side
    6,399.36x = 31,491,607.59
  5. Step 5: Solve for x
    x = 31,491,607.59/6,399.36
  6. Step 6: Final answer
    x = 4,921.06

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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.