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Finding the Fourth Proportional to 5,862.74, 8,794.91 and 1,968.26

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Solution

The fourth proportional to 5,862.74, 8,794.91 and 1,968.26 is: 2,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.74 : 8,794.91 = 1,968.26 : x
  2. Step 2: Convert to fraction form
    5,862.74/8,794.91 = 1,968.26/x
  3. Step 3: Cross multiply
    5,862.74x = 8,794.91 × 1,968.26
  4. Step 4: Simplify right side
    5,862.74x = 17,310,630.50
  5. Step 5: Solve for x
    x = 17,310,630.50/5,862.74
  6. Step 6: Final answer
    x = 2,952.65

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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.