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Finding the Fourth Proportional to 3,484.36, 5,229.08 and 2,665

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Solution

The fourth proportional to 3,484.36, 5,229.08 and 2,665 is: 3,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.36 : 5,229.08 = 2,665 : x
  2. Step 2: Convert to fraction form
    3,484.36/5,229.08 = 2,665/x
  3. Step 3: Cross multiply
    3,484.36x = 5,229.08 × 2,665
  4. Step 4: Simplify right side
    3,484.36x = 13,935,498.20
  5. Step 5: Solve for x
    x = 13,935,498.20/3,484.36
  6. Step 6: Final answer
    x = 3,999.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.