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Finding the Fourth Proportional to 5,765.07, 8,647.20 and 3,292.14

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Solution

The fourth proportional to 5,765.07, 8,647.20 and 3,292.14 is: 4,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.07 : 8,647.20 = 3,292.14 : x
  2. Step 2: Convert to fraction form
    5,765.07/8,647.20 = 3,292.14/x
  3. Step 3: Cross multiply
    5,765.07x = 8,647.20 × 3,292.14
  4. Step 4: Simplify right side
    5,765.07x = 28,467,793.01
  5. Step 5: Solve for x
    x = 28,467,793.01/5,765.07
  6. Step 6: Final answer
    x = 4,937.98

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