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Finding the Fourth Proportional to 4,314.97, 6,467.38 and 2,467.36

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Solution

The fourth proportional to 4,314.97, 6,467.38 and 2,467.36 is: 3,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.97 : 6,467.38 = 2,467.36 : x
  2. Step 2: Convert to fraction form
    4,314.97/6,467.38 = 2,467.36/x
  3. Step 3: Cross multiply
    4,314.97x = 6,467.38 × 2,467.36
  4. Step 4: Simplify right side
    4,314.97x = 15,957,356.63
  5. Step 5: Solve for x
    x = 15,957,356.63/4,314.97
  6. Step 6: Final answer
    x = 3,698.14

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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.