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Finding the Fourth Proportional to 5,232.49, 7,849.08 and 2,310.82

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Solution

The fourth proportional to 5,232.49, 7,849.08 and 2,310.82 is: 3,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.49 : 7,849.08 = 2,310.82 : x
  2. Step 2: Convert to fraction form
    5,232.49/7,849.08 = 2,310.82/x
  3. Step 3: Cross multiply
    5,232.49x = 7,849.08 × 2,310.82
  4. Step 4: Simplify right side
    5,232.49x = 18,137,811.05
  5. Step 5: Solve for x
    x = 18,137,811.05/5,232.49
  6. Step 6: Final answer
    x = 3,466.38

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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.