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Finding the Fourth Proportional to 4,275.70, 6,401.97 and 2,219.38

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Solution

The fourth proportional to 4,275.70, 6,401.97 and 2,219.38 is: 3,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.70 : 6,401.97 = 2,219.38 : x
  2. Step 2: Convert to fraction form
    4,275.70/6,401.97 = 2,219.38/x
  3. Step 3: Cross multiply
    4,275.70x = 6,401.97 × 2,219.38
  4. Step 4: Simplify right side
    4,275.70x = 14,208,404.18
  5. Step 5: Solve for x
    x = 14,208,404.18/4,275.70
  6. Step 6: Final answer
    x = 3,323.06

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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.