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Finding the Fourth Proportional to 5,295.70, 7,947.61 and 3,814.21

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Solution

The fourth proportional to 5,295.70, 7,947.61 and 3,814.21 is: 5,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.70 : 7,947.61 = 3,814.21 : x
  2. Step 2: Convert to fraction form
    5,295.70/7,947.61 = 3,814.21/x
  3. Step 3: Cross multiply
    5,295.70x = 7,947.61 × 3,814.21
  4. Step 4: Simplify right side
    5,295.70x = 30,313,834.47
  5. Step 5: Solve for x
    x = 30,313,834.47/5,295.70
  6. Step 6: Final answer
    x = 5,724.24

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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.