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Finding the Fourth Proportional to 3,478.70, 5,205.90 and 2,433.80

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Solution

The fourth proportional to 3,478.70, 5,205.90 and 2,433.80 is: 3,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.70 : 5,205.90 = 2,433.80 : x
  2. Step 2: Convert to fraction form
    3,478.70/5,205.90 = 2,433.80/x
  3. Step 3: Cross multiply
    3,478.70x = 5,205.90 × 2,433.80
  4. Step 4: Simplify right side
    3,478.70x = 12,670,119.42
  5. Step 5: Solve for x
    x = 12,670,119.42/3,478.70
  6. Step 6: Final answer
    x = 3,642.20

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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.