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Finding the Fourth Proportional to 5,763.89, 8,631.98 and 3,291.22

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Solution

The fourth proportional to 5,763.89, 8,631.98 and 3,291.22 is: 4,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.89 : 8,631.98 = 3,291.22 : x
  2. Step 2: Convert to fraction form
    5,763.89/8,631.98 = 3,291.22/x
  3. Step 3: Cross multiply
    5,763.89x = 8,631.98 × 3,291.22
  4. Step 4: Simplify right side
    5,763.89x = 28,409,745.22
  5. Step 5: Solve for x
    x = 28,409,745.22/5,763.89
  6. Step 6: Final answer
    x = 4,928.92

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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.