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Finding the Fourth Proportional to 3,884.08, 5,822.90 and 1,542.64

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Solution

The fourth proportional to 3,884.08, 5,822.90 and 1,542.64 is: 2,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.08 : 5,822.90 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    3,884.08/5,822.90 = 1,542.64/x
  3. Step 3: Cross multiply
    3,884.08x = 5,822.90 × 1,542.64
  4. Step 4: Simplify right side
    3,884.08x = 8,982,630.74
  5. Step 5: Solve for x
    x = 8,982,630.74/3,884.08
  6. Step 6: Final answer
    x = 2,312.68

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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.