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Finding the Fourth Proportional to 5,189.98, 7,783.99 and 2,228.94

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Solution

The fourth proportional to 5,189.98, 7,783.99 and 2,228.94 is: 3,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.98 : 7,783.99 = 2,228.94 : x
  2. Step 2: Convert to fraction form
    5,189.98/7,783.99 = 2,228.94/x
  3. Step 3: Cross multiply
    5,189.98x = 7,783.99 × 2,228.94
  4. Step 4: Simplify right side
    5,189.98x = 17,350,046.67
  5. Step 5: Solve for x
    x = 17,350,046.67/5,189.98
  6. Step 6: Final answer
    x = 3,342.99

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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.