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Finding the Fourth Proportional to 3,478.34, 4,797.32 and 3,057.80

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Solution

The fourth proportional to 3,478.34, 4,797.32 and 3,057.80 is: 4,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.34 : 4,797.32 = 3,057.80 : x
  2. Step 2: Convert to fraction form
    3,478.34/4,797.32 = 3,057.80/x
  3. Step 3: Cross multiply
    3,478.34x = 4,797.32 × 3,057.80
  4. Step 4: Simplify right side
    3,478.34x = 14,669,245.10
  5. Step 5: Solve for x
    x = 14,669,245.10/3,478.34
  6. Step 6: Final answer
    x = 4,217.31

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