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Finding the Fourth Proportional to 3,429.36, 5,136.72 and 1,671.66

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Solution

The fourth proportional to 3,429.36, 5,136.72 and 1,671.66 is: 2,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.36 : 5,136.72 = 1,671.66 : x
  2. Step 2: Convert to fraction form
    3,429.36/5,136.72 = 1,671.66/x
  3. Step 3: Cross multiply
    3,429.36x = 5,136.72 × 1,671.66
  4. Step 4: Simplify right side
    3,429.36x = 8,586,849.36
  5. Step 5: Solve for x
    x = 8,586,849.36/3,429.36
  6. Step 6: Final answer
    x = 2,503.92

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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.