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Finding the Fourth Proportional to 5,254, 7,250.55 and 2,896.10

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Solution

The fourth proportional to 5,254, 7,250.55 and 2,896.10 is: 3,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254 : 7,250.55 = 2,896.10 : x
  2. Step 2: Convert to fraction form
    5,254/7,250.55 = 2,896.10/x
  3. Step 3: Cross multiply
    5,254x = 7,250.55 × 2,896.10
  4. Step 4: Simplify right side
    5,254x = 20,998,317.86
  5. Step 5: Solve for x
    x = 20,998,317.86/5,254
  6. Step 6: Final answer
    x = 3,996.63

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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.