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Finding the Fourth Proportional to 3,448.53, 5,165.10 and 2,662.77

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Solution

The fourth proportional to 3,448.53, 5,165.10 and 2,662.77 is: 3,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.53 : 5,165.10 = 2,662.77 : x
  2. Step 2: Convert to fraction form
    3,448.53/5,165.10 = 2,662.77/x
  3. Step 3: Cross multiply
    3,448.53x = 5,165.10 × 2,662.77
  4. Step 4: Simplify right side
    3,448.53x = 13,753,473.33
  5. Step 5: Solve for x
    x = 13,753,473.33/3,448.53
  6. Step 6: Final answer
    x = 3,988.21

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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.