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Finding the Fourth Proportional to 5,249, 7,244.25 and 3,011.24

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Solution

The fourth proportional to 5,249, 7,244.25 and 3,011.24 is: 4,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,244.25 = 3,011.24 : x
  2. Step 2: Convert to fraction form
    5,249/7,244.25 = 3,011.24/x
  3. Step 3: Cross multiply
    5,249x = 7,244.25 × 3,011.24
  4. Step 4: Simplify right side
    5,249x = 21,814,175.37
  5. Step 5: Solve for x
    x = 21,814,175.37/5,249
  6. Step 6: Final answer
    x = 4,155.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.