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Finding the Fourth Proportional to 3,753.32, 5,179.30 and 2,097

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Solution

The fourth proportional to 3,753.32, 5,179.30 and 2,097 is: 2,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.32 : 5,179.30 = 2,097 : x
  2. Step 2: Convert to fraction form
    3,753.32/5,179.30 = 2,097/x
  3. Step 3: Cross multiply
    3,753.32x = 5,179.30 × 2,097
  4. Step 4: Simplify right side
    3,753.32x = 10,860,992.10
  5. Step 5: Solve for x
    x = 10,860,992.10/3,753.32
  6. Step 6: Final answer
    x = 2,893.70

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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.