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Finding the Fourth Proportional to 4,805.23, 6,631.20 and 2,709.35

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Solution

The fourth proportional to 4,805.23, 6,631.20 and 2,709.35 is: 3,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.23 : 6,631.20 = 2,709.35 : x
  2. Step 2: Convert to fraction form
    4,805.23/6,631.20 = 2,709.35/x
  3. Step 3: Cross multiply
    4,805.23x = 6,631.20 × 2,709.35
  4. Step 4: Simplify right side
    4,805.23x = 17,966,241.72
  5. Step 5: Solve for x
    x = 17,966,241.72/4,805.23
  6. Step 6: Final answer
    x = 3,738.90

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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.