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Finding the Fourth Proportional to 3,136.94, 4,319.10 and 2,663.86

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Solution

The fourth proportional to 3,136.94, 4,319.10 and 2,663.86 is: 3,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.94 : 4,319.10 = 2,663.86 : x
  2. Step 2: Convert to fraction form
    3,136.94/4,319.10 = 2,663.86/x
  3. Step 3: Cross multiply
    3,136.94x = 4,319.10 × 2,663.86
  4. Step 4: Simplify right side
    3,136.94x = 11,505,477.73
  5. Step 5: Solve for x
    x = 11,505,477.73/3,136.94
  6. Step 6: Final answer
    x = 3,667.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.