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Finding the Fourth Proportional to 6,415.92, 8,853.79 and 3,583.21

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Solution

The fourth proportional to 6,415.92, 8,853.79 and 3,583.21 is: 4,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.92 : 8,853.79 = 3,583.21 : x
  2. Step 2: Convert to fraction form
    6,415.92/8,853.79 = 3,583.21/x
  3. Step 3: Cross multiply
    6,415.92x = 8,853.79 × 3,583.21
  4. Step 4: Simplify right side
    6,415.92x = 31,724,970.95
  5. Step 5: Solve for x
    x = 31,724,970.95/6,415.92
  6. Step 6: Final answer
    x = 4,944.73

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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.