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Finding the Fourth Proportional to 5,493.92, 7,583.64 and 3,722

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Solution

The fourth proportional to 5,493.92, 7,583.64 and 3,722 is: 5,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.92 : 7,583.64 = 3,722 : x
  2. Step 2: Convert to fraction form
    5,493.92/7,583.64 = 3,722/x
  3. Step 3: Cross multiply
    5,493.92x = 7,583.64 × 3,722
  4. Step 4: Simplify right side
    5,493.92x = 28,226,308.08
  5. Step 5: Solve for x
    x = 28,226,308.08/5,493.92
  6. Step 6: Final answer
    x = 5,137.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.