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Finding the Fourth Proportional to 5,583.42, 8,378.52 and 3,247.98

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Solution

The fourth proportional to 5,583.42, 8,378.52 and 3,247.98 is: 4,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.42 : 8,378.52 = 3,247.98 : x
  2. Step 2: Convert to fraction form
    5,583.42/8,378.52 = 3,247.98/x
  3. Step 3: Cross multiply
    5,583.42x = 8,378.52 × 3,247.98
  4. Step 4: Simplify right side
    5,583.42x = 27,213,265.39
  5. Step 5: Solve for x
    x = 27,213,265.39/5,583.42
  6. Step 6: Final answer
    x = 4,873.94

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Why These Related Problems?

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