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Finding the Fourth Proportional to 3,257.85, 4,491.10 and 2,136.84

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Solution

The fourth proportional to 3,257.85, 4,491.10 and 2,136.84 is: 2,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.85 : 4,491.10 = 2,136.84 : x
  2. Step 2: Convert to fraction form
    3,257.85/4,491.10 = 2,136.84/x
  3. Step 3: Cross multiply
    3,257.85x = 4,491.10 × 2,136.84
  4. Step 4: Simplify right side
    3,257.85x = 9,596,762.12
  5. Step 5: Solve for x
    x = 9,596,762.12/3,257.85
  6. Step 6: Final answer
    x = 2,945.73

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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.