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Finding the Fourth Proportional to 5,206.70, 7,813.89 and 3,823.62

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Solution

The fourth proportional to 5,206.70, 7,813.89 and 3,823.62 is: 5,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.70 : 7,813.89 = 3,823.62 : x
  2. Step 2: Convert to fraction form
    5,206.70/7,813.89 = 3,823.62/x
  3. Step 3: Cross multiply
    5,206.70x = 7,813.89 × 3,823.62
  4. Step 4: Simplify right side
    5,206.70x = 29,877,346.08
  5. Step 5: Solve for x
    x = 29,877,346.08/5,206.70
  6. Step 6: Final answer
    x = 5,738.26

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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.