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Finding the Fourth Proportional to 4,805, 6,630.90 and 2,709.20

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Solution

The fourth proportional to 4,805, 6,630.90 and 2,709.20 is: 3,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805 : 6,630.90 = 2,709.20 : x
  2. Step 2: Convert to fraction form
    4,805/6,630.90 = 2,709.20/x
  3. Step 3: Cross multiply
    4,805x = 6,630.90 × 2,709.20
  4. Step 4: Simplify right side
    4,805x = 17,964,434.28
  5. Step 5: Solve for x
    x = 17,964,434.28/4,805
  6. Step 6: Final answer
    x = 3,738.70

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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.