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Finding the Fourth Proportional to 6,187.76, 8,539.22 and 3,393.24

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Solution

The fourth proportional to 6,187.76, 8,539.22 and 3,393.24 is: 4,682.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.76 : 8,539.22 = 3,393.24 : x
  2. Step 2: Convert to fraction form
    6,187.76/8,539.22 = 3,393.24/x
  3. Step 3: Cross multiply
    6,187.76x = 8,539.22 × 3,393.24
  4. Step 4: Simplify right side
    6,187.76x = 28,975,622.87
  5. Step 5: Solve for x
    x = 28,975,622.87/6,187.76
  6. Step 6: Final answer
    x = 4,682.73

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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.