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Finding the Fourth Proportional to 3,324.28, 4,986.01 and 859.27

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Solution

The fourth proportional to 3,324.28, 4,986.01 and 859.27 is: 1,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.28 : 4,986.01 = 859.27 : x
  2. Step 2: Convert to fraction form
    3,324.28/4,986.01 = 859.27/x
  3. Step 3: Cross multiply
    3,324.28x = 4,986.01 × 859.27
  4. Step 4: Simplify right side
    3,324.28x = 4,284,328.81
  5. Step 5: Solve for x
    x = 4,284,328.81/3,324.28
  6. Step 6: Final answer
    x = 1,288.80

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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.