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Finding the Fourth Proportional to 3,491.34, 5,237.74 and 3,142.80

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Solution

The fourth proportional to 3,491.34, 5,237.74 and 3,142.80 is: 4,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.34 : 5,237.74 = 3,142.80 : x
  2. Step 2: Convert to fraction form
    3,491.34/5,237.74 = 3,142.80/x
  3. Step 3: Cross multiply
    3,491.34x = 5,237.74 × 3,142.80
  4. Step 4: Simplify right side
    3,491.34x = 16,461,169.27
  5. Step 5: Solve for x
    x = 16,461,169.27/3,491.34
  6. Step 6: Final answer
    x = 4,714.86

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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.