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Finding the Fourth Proportional to 6,491.60, 8,961.36 and 4,136.92

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Solution

The fourth proportional to 6,491.60, 8,961.36 and 4,136.92 is: 5,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.60 : 8,961.36 = 4,136.92 : x
  2. Step 2: Convert to fraction form
    6,491.60/8,961.36 = 4,136.92/x
  3. Step 3: Cross multiply
    6,491.60x = 8,961.36 × 4,136.92
  4. Step 4: Simplify right side
    6,491.60x = 37,072,429.41
  5. Step 5: Solve for x
    x = 37,072,429.41/6,491.60
  6. Step 6: Final answer
    x = 5,710.83

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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.