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Finding the Fourth Proportional to 4,091.32, 6,136.17 and 3,402.42

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Solution

The fourth proportional to 4,091.32, 6,136.17 and 3,402.42 is: 5,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.32 : 6,136.17 = 3,402.42 : x
  2. Step 2: Convert to fraction form
    4,091.32/6,136.17 = 3,402.42/x
  3. Step 3: Cross multiply
    4,091.32x = 6,136.17 × 3,402.42
  4. Step 4: Simplify right side
    4,091.32x = 20,877,827.53
  5. Step 5: Solve for x
    x = 20,877,827.53/4,091.32
  6. Step 6: Final answer
    x = 5,102.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.