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Finding the Fourth Proportional to 3,591.92, 5,384.64 and 2,496.80

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Solution

The fourth proportional to 3,591.92, 5,384.64 and 2,496.80 is: 3,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.92 : 5,384.64 = 2,496.80 : x
  2. Step 2: Convert to fraction form
    3,591.92/5,384.64 = 2,496.80/x
  3. Step 3: Cross multiply
    3,591.92x = 5,384.64 × 2,496.80
  4. Step 4: Simplify right side
    3,591.92x = 13,444,369.15
  5. Step 5: Solve for x
    x = 13,444,369.15/3,591.92
  6. Step 6: Final answer
    x = 3,742.95

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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.