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Finding the Fourth Proportional to 4,936.33, 7,406.55 and 2,164.99

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Solution

The fourth proportional to 4,936.33, 7,406.55 and 2,164.99 is: 3,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.33 : 7,406.55 = 2,164.99 : x
  2. Step 2: Convert to fraction form
    4,936.33/7,406.55 = 2,164.99/x
  3. Step 3: Cross multiply
    4,936.33x = 7,406.55 × 2,164.99
  4. Step 4: Simplify right side
    4,936.33x = 16,035,082.76
  5. Step 5: Solve for x
    x = 16,035,082.76/4,936.33
  6. Step 6: Final answer
    x = 3,248.38

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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.