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Finding the Fourth Proportional to 4,046.64, 6,066.84 and 3,634.51

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Solution

The fourth proportional to 4,046.64, 6,066.84 and 3,634.51 is: 5,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.64 : 6,066.84 = 3,634.51 : x
  2. Step 2: Convert to fraction form
    4,046.64/6,066.84 = 3,634.51/x
  3. Step 3: Cross multiply
    4,046.64x = 6,066.84 × 3,634.51
  4. Step 4: Simplify right side
    4,046.64x = 22,049,990.65
  5. Step 5: Solve for x
    x = 22,049,990.65/4,046.64
  6. Step 6: Final answer
    x = 5,448.97

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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.