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Finding the Fourth Proportional to 5,812.77, 8,021.05 and 3,294.38

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Solution

The fourth proportional to 5,812.77, 8,021.05 and 3,294.38 is: 4,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.77 : 8,021.05 = 3,294.38 : x
  2. Step 2: Convert to fraction form
    5,812.77/8,021.05 = 3,294.38/x
  3. Step 3: Cross multiply
    5,812.77x = 8,021.05 × 3,294.38
  4. Step 4: Simplify right side
    5,812.77x = 26,424,386.70
  5. Step 5: Solve for x
    x = 26,424,386.70/5,812.77
  6. Step 6: Final answer
    x = 4,545.92

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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.