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Finding the Fourth Proportional to 4,092, 6,147.68 and 2,361.84

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Solution

The fourth proportional to 4,092, 6,147.68 and 2,361.84 is: 3,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 6,147.68 = 2,361.84 : x
  2. Step 2: Convert to fraction form
    4,092/6,147.68 = 2,361.84/x
  3. Step 3: Cross multiply
    4,092x = 6,147.68 × 2,361.84
  4. Step 4: Simplify right side
    4,092x = 14,519,836.53
  5. Step 5: Solve for x
    x = 14,519,836.53/4,092
  6. Step 6: Final answer
    x = 3,548.35

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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.