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Finding the Fourth Proportional to 5,282.28, 7,282.44 and 4,533

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Solution

The fourth proportional to 5,282.28, 7,282.44 and 4,533 is: 6,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.28 : 7,282.44 = 4,533 : x
  2. Step 2: Convert to fraction form
    5,282.28/7,282.44 = 4,533/x
  3. Step 3: Cross multiply
    5,282.28x = 7,282.44 × 4,533
  4. Step 4: Simplify right side
    5,282.28x = 33,011,300.52
  5. Step 5: Solve for x
    x = 33,011,300.52/5,282.28
  6. Step 6: Final answer
    x = 6,249.44

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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.