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Finding the Fourth Proportional to 5,198.52, 7,797.72 and 4,485

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Solution

The fourth proportional to 5,198.52, 7,797.72 and 4,485 is: 6,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.52 : 7,797.72 = 4,485 : x
  2. Step 2: Convert to fraction form
    5,198.52/7,797.72 = 4,485/x
  3. Step 3: Cross multiply
    5,198.52x = 7,797.72 × 4,485
  4. Step 4: Simplify right side
    5,198.52x = 34,972,774.20
  5. Step 5: Solve for x
    x = 34,972,774.20/5,198.52
  6. Step 6: Final answer
    x = 6,727.45

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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.