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Finding the Fourth Proportional to 5,242.35, 7,863.57 and 1,912.99

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Solution

The fourth proportional to 5,242.35, 7,863.57 and 1,912.99 is: 2,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.35 : 7,863.57 = 1,912.99 : x
  2. Step 2: Convert to fraction form
    5,242.35/7,863.57 = 1,912.99/x
  3. Step 3: Cross multiply
    5,242.35x = 7,863.57 × 1,912.99
  4. Step 4: Simplify right side
    5,242.35x = 15,042,881.89
  5. Step 5: Solve for x
    x = 15,042,881.89/5,242.35
  6. Step 6: Final answer
    x = 2,869.49

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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.