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Finding the Fourth Proportional to 6,374.97, 8,798.01 and 3,723.23

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Solution

The fourth proportional to 6,374.97, 8,798.01 and 3,723.23 is: 5,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.97 : 8,798.01 = 3,723.23 : x
  2. Step 2: Convert to fraction form
    6,374.97/8,798.01 = 3,723.23/x
  3. Step 3: Cross multiply
    6,374.97x = 8,798.01 × 3,723.23
  4. Step 4: Simplify right side
    6,374.97x = 32,757,050.73
  5. Step 5: Solve for x
    x = 32,757,050.73/6,374.97
  6. Step 6: Final answer
    x = 5,138.39

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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.