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Finding the Fourth Proportional to 6,400.50, 8,832.72 and 3,567.66

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Solution

The fourth proportional to 6,400.50, 8,832.72 and 3,567.66 is: 4,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.50 : 8,832.72 = 3,567.66 : x
  2. Step 2: Convert to fraction form
    6,400.50/8,832.72 = 3,567.66/x
  3. Step 3: Cross multiply
    6,400.50x = 8,832.72 × 3,567.66
  4. Step 4: Simplify right side
    6,400.50x = 31,512,141.84
  5. Step 5: Solve for x
    x = 31,512,141.84/6,400.50
  6. Step 6: Final answer
    x = 4,923.39

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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.