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Finding the Fourth Proportional to 4,182.57, 6,267.21 and 3,398.76

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Solution

The fourth proportional to 4,182.57, 6,267.21 and 3,398.76 is: 5,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.57 : 6,267.21 = 3,398.76 : x
  2. Step 2: Convert to fraction form
    4,182.57/6,267.21 = 3,398.76/x
  3. Step 3: Cross multiply
    4,182.57x = 6,267.21 × 3,398.76
  4. Step 4: Simplify right side
    4,182.57x = 21,300,742.66
  5. Step 5: Solve for x
    x = 21,300,742.66/4,182.57
  6. Step 6: Final answer
    x = 5,092.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.