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Finding the Fourth Proportional to 5,253.78, 7,250.13 and 2,896.14

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Solution

The fourth proportional to 5,253.78, 7,250.13 and 2,896.14 is: 3,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.78 : 7,250.13 = 2,896.14 : x
  2. Step 2: Convert to fraction form
    5,253.78/7,250.13 = 2,896.14/x
  3. Step 3: Cross multiply
    5,253.78x = 7,250.13 × 2,896.14
  4. Step 4: Simplify right side
    5,253.78x = 20,997,391.50
  5. Step 5: Solve for x
    x = 20,997,391.50/5,253.78
  6. Step 6: Final answer
    x = 3,996.63

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1.5x scale

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.