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Finding the Fourth Proportional to 4,611, 6,363.36 and 2,749.08

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Solution

The fourth proportional to 4,611, 6,363.36 and 2,749.08 is: 3,793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611 : 6,363.36 = 2,749.08 : x
  2. Step 2: Convert to fraction form
    4,611/6,363.36 = 2,749.08/x
  3. Step 3: Cross multiply
    4,611x = 6,363.36 × 2,749.08
  4. Step 4: Simplify right side
    4,611x = 17,493,385.71
  5. Step 5: Solve for x
    x = 17,493,385.71/4,611
  6. Step 6: Final answer
    x = 3,793.84

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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.