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Finding the Fourth Proportional to 3,870.98, 5,806.42 and 949.31

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Solution

The fourth proportional to 3,870.98, 5,806.42 and 949.31 is: 1,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.98 : 5,806.42 = 949.31 : x
  2. Step 2: Convert to fraction form
    3,870.98/5,806.42 = 949.31/x
  3. Step 3: Cross multiply
    3,870.98x = 5,806.42 × 949.31
  4. Step 4: Simplify right side
    3,870.98x = 5,512,092.57
  5. Step 5: Solve for x
    x = 5,512,092.57/3,870.98
  6. Step 6: Final answer
    x = 1,423.95

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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.