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Finding the Fourth Proportional to 3,283.91, 4,532.37 and 3,136.29

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Solution

The fourth proportional to 3,283.91, 4,532.37 and 3,136.29 is: 4,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.91 : 4,532.37 = 3,136.29 : x
  2. Step 2: Convert to fraction form
    3,283.91/4,532.37 = 3,136.29/x
  3. Step 3: Cross multiply
    3,283.91x = 4,532.37 × 3,136.29
  4. Step 4: Simplify right side
    3,283.91x = 14,214,826.71
  5. Step 5: Solve for x
    x = 14,214,826.71/3,283.91
  6. Step 6: Final answer
    x = 4,328.63

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Why These Related Problems?

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