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Finding the Fourth Proportional to 5,818.64, 8,033.76 and 3,583.44

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Solution

The fourth proportional to 5,818.64, 8,033.76 and 3,583.44 is: 4,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.64 : 8,033.76 = 3,583.44 : x
  2. Step 2: Convert to fraction form
    5,818.64/8,033.76 = 3,583.44/x
  3. Step 3: Cross multiply
    5,818.64x = 8,033.76 × 3,583.44
  4. Step 4: Simplify right side
    5,818.64x = 28,788,496.93
  5. Step 5: Solve for x
    x = 28,788,496.93/5,818.64
  6. Step 6: Final answer
    x = 4,947.63

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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.