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Finding the Fourth Proportional to 4,936.34, 7,402.22 and 1,815.54

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Solution

The fourth proportional to 4,936.34, 7,402.22 and 1,815.54 is: 2,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.34 : 7,402.22 = 1,815.54 : x
  2. Step 2: Convert to fraction form
    4,936.34/7,402.22 = 1,815.54/x
  3. Step 3: Cross multiply
    4,936.34x = 7,402.22 × 1,815.54
  4. Step 4: Simplify right side
    4,936.34x = 13,439,026.50
  5. Step 5: Solve for x
    x = 13,439,026.50/4,936.34
  6. Step 6: Final answer
    x = 2,722.47

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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.