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Finding the Fourth Proportional to 5,739.69, 8,614.95 and 2,820.09

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Solution

The fourth proportional to 5,739.69, 8,614.95 and 2,820.09 is: 4,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.69 : 8,614.95 = 2,820.09 : x
  2. Step 2: Convert to fraction form
    5,739.69/8,614.95 = 2,820.09/x
  3. Step 3: Cross multiply
    5,739.69x = 8,614.95 × 2,820.09
  4. Step 4: Simplify right side
    5,739.69x = 24,294,934.35
  5. Step 5: Solve for x
    x = 24,294,934.35/5,739.69
  6. Step 6: Final answer
    x = 4,232.80

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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.