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Finding the Fourth Proportional to 5,859.68, 8,089 and 3,738.06

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Solution

The fourth proportional to 5,859.68, 8,089 and 3,738.06 is: 5,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.68 : 8,089 = 3,738.06 : x
  2. Step 2: Convert to fraction form
    5,859.68/8,089 = 3,738.06/x
  3. Step 3: Cross multiply
    5,859.68x = 8,089 × 3,738.06
  4. Step 4: Simplify right side
    5,859.68x = 30,237,167.34
  5. Step 5: Solve for x
    x = 30,237,167.34/5,859.68
  6. Step 6: Final answer
    x = 5,160.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.