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Finding the Fourth Proportional to 5,806.54, 8,012.98 and 3,153.92

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Solution

The fourth proportional to 5,806.54, 8,012.98 and 3,153.92 is: 4,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.54 : 8,012.98 = 3,153.92 : x
  2. Step 2: Convert to fraction form
    5,806.54/8,012.98 = 3,153.92/x
  3. Step 3: Cross multiply
    5,806.54x = 8,012.98 × 3,153.92
  4. Step 4: Simplify right side
    5,806.54x = 25,272,315.70
  5. Step 5: Solve for x
    x = 25,272,315.70/5,806.54
  6. Step 6: Final answer
    x = 4,352.39

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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.