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Finding the Fourth Proportional to 5,748.09, 8,614.09 and 3,109.92

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Solution

The fourth proportional to 5,748.09, 8,614.09 and 3,109.92 is: 4,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.09 : 8,614.09 = 3,109.92 : x
  2. Step 2: Convert to fraction form
    5,748.09/8,614.09 = 3,109.92/x
  3. Step 3: Cross multiply
    5,748.09x = 8,614.09 × 3,109.92
  4. Step 4: Simplify right side
    5,748.09x = 26,789,130.77
  5. Step 5: Solve for x
    x = 26,789,130.77/5,748.09
  6. Step 6: Final answer
    x = 4,660.53

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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.