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Finding the Fourth Proportional to 4,771.92, 7,156.58 and 1,998.02

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Solution

The fourth proportional to 4,771.92, 7,156.58 and 1,998.02 is: 2,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.92 : 7,156.58 = 1,998.02 : x
  2. Step 2: Convert to fraction form
    4,771.92/7,156.58 = 1,998.02/x
  3. Step 3: Cross multiply
    4,771.92x = 7,156.58 × 1,998.02
  4. Step 4: Simplify right side
    4,771.92x = 14,298,989.97
  5. Step 5: Solve for x
    x = 14,298,989.97/4,771.92
  6. Step 6: Final answer
    x = 2,996.49

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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.