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Finding the Fourth Proportional to 4,211.87, 5,806.22 and 2,948.94

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Solution

The fourth proportional to 4,211.87, 5,806.22 and 2,948.94 is: 4,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.87 : 5,806.22 = 2,948.94 : x
  2. Step 2: Convert to fraction form
    4,211.87/5,806.22 = 2,948.94/x
  3. Step 3: Cross multiply
    4,211.87x = 5,806.22 × 2,948.94
  4. Step 4: Simplify right side
    4,211.87x = 17,122,179.66
  5. Step 5: Solve for x
    x = 17,122,179.66/4,211.87
  6. Step 6: Final answer
    x = 4,065.23

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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.