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Finding the Fourth Proportional to 6,374.71, 8,796.45 and 3,723.66

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Solution

The fourth proportional to 6,374.71, 8,796.45 and 3,723.66 is: 5,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.71 : 8,796.45 = 3,723.66 : x
  2. Step 2: Convert to fraction form
    6,374.71/8,796.45 = 3,723.66/x
  3. Step 3: Cross multiply
    6,374.71x = 8,796.45 × 3,723.66
  4. Step 4: Simplify right side
    6,374.71x = 32,754,989.01
  5. Step 5: Solve for x
    x = 32,754,989.01/6,374.71
  6. Step 6: Final answer
    x = 5,138.27

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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.