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Finding the Fourth Proportional to 4,936.22, 7,402.80 and 1,648.46

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Solution

The fourth proportional to 4,936.22, 7,402.80 and 1,648.46 is: 2,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.22 : 7,402.80 = 1,648.46 : x
  2. Step 2: Convert to fraction form
    4,936.22/7,402.80 = 1,648.46/x
  3. Step 3: Cross multiply
    4,936.22x = 7,402.80 × 1,648.46
  4. Step 4: Simplify right side
    4,936.22x = 12,203,219.69
  5. Step 5: Solve for x
    x = 12,203,219.69/4,936.22
  6. Step 6: Final answer
    x = 2,472.18

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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.