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Finding the Fourth Proportional to 5,323.26, 7,983.81 and 5,059.83

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Solution

The fourth proportional to 5,323.26, 7,983.81 and 5,059.83 is: 7,588.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.26 : 7,983.81 = 5,059.83 : x
  2. Step 2: Convert to fraction form
    5,323.26/7,983.81 = 5,059.83/x
  3. Step 3: Cross multiply
    5,323.26x = 7,983.81 × 5,059.83
  4. Step 4: Simplify right side
    5,323.26x = 40,396,721.35
  5. Step 5: Solve for x
    x = 40,396,721.35/5,323.26
  6. Step 6: Final answer
    x = 7,588.72

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1.5x scale

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.