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Finding the Fourth Proportional to 4,651.65, 6,418.62 and 2,662.34

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Solution

The fourth proportional to 4,651.65, 6,418.62 and 2,662.34 is: 3,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.65 : 6,418.62 = 2,662.34 : x
  2. Step 2: Convert to fraction form
    4,651.65/6,418.62 = 2,662.34/x
  3. Step 3: Cross multiply
    4,651.65x = 6,418.62 × 2,662.34
  4. Step 4: Simplify right side
    4,651.65x = 17,088,516.68
  5. Step 5: Solve for x
    x = 17,088,516.68/4,651.65
  6. Step 6: Final answer
    x = 3,673.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.