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Finding the Fourth Proportional to 5,247.35, 7,866.16 and 1,957.94

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Solution

The fourth proportional to 5,247.35, 7,866.16 and 1,957.94 is: 2,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.35 : 7,866.16 = 1,957.94 : x
  2. Step 2: Convert to fraction form
    5,247.35/7,866.16 = 1,957.94/x
  3. Step 3: Cross multiply
    5,247.35x = 7,866.16 × 1,957.94
  4. Step 4: Simplify right side
    5,247.35x = 15,401,469.31
  5. Step 5: Solve for x
    x = 15,401,469.31/5,247.35
  6. Step 6: Final answer
    x = 2,935.09

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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.