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Finding the Fourth Proportional to 4,310.33, 6,467.93 and 1,713.47

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Solution

The fourth proportional to 4,310.33, 6,467.93 and 1,713.47 is: 2,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.33 : 6,467.93 = 1,713.47 : x
  2. Step 2: Convert to fraction form
    4,310.33/6,467.93 = 1,713.47/x
  3. Step 3: Cross multiply
    4,310.33x = 6,467.93 × 1,713.47
  4. Step 4: Simplify right side
    4,310.33x = 11,082,604.02
  5. Step 5: Solve for x
    x = 11,082,604.02/4,310.33
  6. Step 6: Final answer
    x = 2,571.17

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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.