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Finding the Fourth Proportional to 4,630.28, 6,942.34 and 2,551.28

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Solution

The fourth proportional to 4,630.28, 6,942.34 and 2,551.28 is: 3,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.28 : 6,942.34 = 2,551.28 : x
  2. Step 2: Convert to fraction form
    4,630.28/6,942.34 = 2,551.28/x
  3. Step 3: Cross multiply
    4,630.28x = 6,942.34 × 2,551.28
  4. Step 4: Simplify right side
    4,630.28x = 17,711,821.67
  5. Step 5: Solve for x
    x = 17,711,821.67/4,630.28
  6. Step 6: Final answer
    x = 3,825.22

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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.