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Finding the Fourth Proportional to 5,230.85, 7,846.67 and 2,308.64

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Solution

The fourth proportional to 5,230.85, 7,846.67 and 2,308.64 is: 3,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.85 : 7,846.67 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    5,230.85/7,846.67 = 2,308.64/x
  3. Step 3: Cross multiply
    5,230.85x = 7,846.67 × 2,308.64
  4. Step 4: Simplify right side
    5,230.85x = 18,115,102.77
  5. Step 5: Solve for x
    x = 18,115,102.77/5,230.85
  6. Step 6: Final answer
    x = 3,463.13

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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.