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Finding the Fourth Proportional to 4,219.92, 6,315.30 and 2,755.44

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Solution

The fourth proportional to 4,219.92, 6,315.30 and 2,755.44 is: 4,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.92 : 6,315.30 = 2,755.44 : x
  2. Step 2: Convert to fraction form
    4,219.92/6,315.30 = 2,755.44/x
  3. Step 3: Cross multiply
    4,219.92x = 6,315.30 × 2,755.44
  4. Step 4: Simplify right side
    4,219.92x = 17,401,430.23
  5. Step 5: Solve for x
    x = 17,401,430.23/4,219.92
  6. Step 6: Final answer
    x = 4,123.64

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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.