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Finding the Fourth Proportional to 4,805.52, 6,631.08 and 2,709.24

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Solution

The fourth proportional to 4,805.52, 6,631.08 and 2,709.24 is: 3,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.52 : 6,631.08 = 2,709.24 : x
  2. Step 2: Convert to fraction form
    4,805.52/6,631.08 = 2,709.24/x
  3. Step 3: Cross multiply
    4,805.52x = 6,631.08 × 2,709.24
  4. Step 4: Simplify right side
    4,805.52x = 17,965,187.18
  5. Step 5: Solve for x
    x = 17,965,187.18/4,805.52
  6. Step 6: Final answer
    x = 3,738.45

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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.