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Finding the Fourth Proportional to 4,091.76, 6,136.20 and 1,494

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Solution

The fourth proportional to 4,091.76, 6,136.20 and 1,494 is: 2,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.76 : 6,136.20 = 1,494 : x
  2. Step 2: Convert to fraction form
    4,091.76/6,136.20 = 1,494/x
  3. Step 3: Cross multiply
    4,091.76x = 6,136.20 × 1,494
  4. Step 4: Simplify right side
    4,091.76x = 9,167,482.80
  5. Step 5: Solve for x
    x = 9,167,482.80/4,091.76
  6. Step 6: Final answer
    x = 2,240.47

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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.