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Finding the Fourth Proportional to 6,218.28, 8,582.94 and 4,232.16

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Solution

The fourth proportional to 6,218.28, 8,582.94 and 4,232.16 is: 5,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.28 : 8,582.94 = 4,232.16 : x
  2. Step 2: Convert to fraction form
    6,218.28/8,582.94 = 4,232.16/x
  3. Step 3: Cross multiply
    6,218.28x = 8,582.94 × 4,232.16
  4. Step 4: Simplify right side
    6,218.28x = 36,324,375.35
  5. Step 5: Solve for x
    x = 36,324,375.35/6,218.28
  6. Step 6: Final answer
    x = 5,841.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.