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Finding the Fourth Proportional to 5,849.16, 8,765.16 and 2,923.44

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Solution

The fourth proportional to 5,849.16, 8,765.16 and 2,923.44 is: 4,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.16 : 8,765.16 = 2,923.44 : x
  2. Step 2: Convert to fraction form
    5,849.16/8,765.16 = 2,923.44/x
  3. Step 3: Cross multiply
    5,849.16x = 8,765.16 × 2,923.44
  4. Step 4: Simplify right side
    5,849.16x = 25,624,419.35
  5. Step 5: Solve for x
    x = 25,624,419.35/5,849.16
  6. Step 6: Final answer
    x = 4,380.87

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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.