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Finding the Fourth Proportional to 5,782.95, 8,669.52 and 2,493.54

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Solution

The fourth proportional to 5,782.95, 8,669.52 and 2,493.54 is: 3,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.95 : 8,669.52 = 2,493.54 : x
  2. Step 2: Convert to fraction form
    5,782.95/8,669.52 = 2,493.54/x
  3. Step 3: Cross multiply
    5,782.95x = 8,669.52 × 2,493.54
  4. Step 4: Simplify right side
    5,782.95x = 21,617,794.90
  5. Step 5: Solve for x
    x = 21,617,794.90/5,782.95
  6. Step 6: Final answer
    x = 3,738.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.