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Finding the Fourth Proportional to 5,246.57, 7,869.83 and 1,351.01

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Solution

The fourth proportional to 5,246.57, 7,869.83 and 1,351.01 is: 2,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.57 : 7,869.83 = 1,351.01 : x
  2. Step 2: Convert to fraction form
    5,246.57/7,869.83 = 1,351.01/x
  3. Step 3: Cross multiply
    5,246.57x = 7,869.83 × 1,351.01
  4. Step 4: Simplify right side
    5,246.57x = 10,632,231.95
  5. Step 5: Solve for x
    x = 10,632,231.95/5,246.57
  6. Step 6: Final answer
    x = 2,026.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.