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Finding the Fourth Proportional to 5,136.98, 7,707.29 and 2,671.74

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Solution

The fourth proportional to 5,136.98, 7,707.29 and 2,671.74 is: 4,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.98 : 7,707.29 = 2,671.74 : x
  2. Step 2: Convert to fraction form
    5,136.98/7,707.29 = 2,671.74/x
  3. Step 3: Cross multiply
    5,136.98x = 7,707.29 × 2,671.74
  4. Step 4: Simplify right side
    5,136.98x = 20,591,861.63
  5. Step 5: Solve for x
    x = 20,591,861.63/5,136.98
  6. Step 6: Final answer
    x = 4,008.56

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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.