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Finding the Fourth Proportional to 5,797.43, 8,006.98 and 3,916.78

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Solution

The fourth proportional to 5,797.43, 8,006.98 and 3,916.78 is: 5,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.43 : 8,006.98 = 3,916.78 : x
  2. Step 2: Convert to fraction form
    5,797.43/8,006.98 = 3,916.78/x
  3. Step 3: Cross multiply
    5,797.43x = 8,006.98 × 3,916.78
  4. Step 4: Simplify right side
    5,797.43x = 31,361,592.95
  5. Step 5: Solve for x
    x = 31,361,592.95/5,797.43
  6. Step 6: Final answer
    x = 5,409.57

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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.