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Finding the Fourth Proportional to 4,211.85, 5,806.26 and 2,949

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Solution

The fourth proportional to 4,211.85, 5,806.26 and 2,949 is: 4,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.85 : 5,806.26 = 2,949 : x
  2. Step 2: Convert to fraction form
    4,211.85/5,806.26 = 2,949/x
  3. Step 3: Cross multiply
    4,211.85x = 5,806.26 × 2,949
  4. Step 4: Simplify right side
    4,211.85x = 17,122,660.74
  5. Step 5: Solve for x
    x = 17,122,660.74/4,211.85
  6. Step 6: Final answer
    x = 4,065.35

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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.