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Finding the Fourth Proportional to 5,812.66, 8,019.70 and 3,294.38

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Solution

The fourth proportional to 5,812.66, 8,019.70 and 3,294.38 is: 4,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.66 : 8,019.70 = 3,294.38 : x
  2. Step 2: Convert to fraction form
    5,812.66/8,019.70 = 3,294.38/x
  3. Step 3: Cross multiply
    5,812.66x = 8,019.70 × 3,294.38
  4. Step 4: Simplify right side
    5,812.66x = 26,419,939.29
  5. Step 5: Solve for x
    x = 26,419,939.29/5,812.66
  6. Step 6: Final answer
    x = 4,545.24

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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.