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Finding the Fourth Proportional to 6,424.57, 8,867.39 and 4,182.54

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Solution

The fourth proportional to 6,424.57, 8,867.39 and 4,182.54 is: 5,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.57 : 8,867.39 = 4,182.54 : x
  2. Step 2: Convert to fraction form
    6,424.57/8,867.39 = 4,182.54/x
  3. Step 3: Cross multiply
    6,424.57x = 8,867.39 × 4,182.54
  4. Step 4: Simplify right side
    6,424.57x = 37,088,235.54
  5. Step 5: Solve for x
    x = 37,088,235.54/6,424.57
  6. Step 6: Final answer
    x = 5,772.87

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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.