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Finding the Fourth Proportional to 3,423.30, 5,136.03 and 2,038.20

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Solution

The fourth proportional to 3,423.30, 5,136.03 and 2,038.20 is: 3,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.30 : 5,136.03 = 2,038.20 : x
  2. Step 2: Convert to fraction form
    3,423.30/5,136.03 = 2,038.20/x
  3. Step 3: Cross multiply
    3,423.30x = 5,136.03 × 2,038.20
  4. Step 4: Simplify right side
    3,423.30x = 10,468,256.35
  5. Step 5: Solve for x
    x = 10,468,256.35/3,423.30
  6. Step 6: Final answer
    x = 3,057.94

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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.