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Finding the Fourth Proportional to 4,046.12, 6,066.08 and 3,634

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Solution

The fourth proportional to 4,046.12, 6,066.08 and 3,634 is: 5,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.12 : 6,066.08 = 3,634 : x
  2. Step 2: Convert to fraction form
    4,046.12/6,066.08 = 3,634/x
  3. Step 3: Cross multiply
    4,046.12x = 6,066.08 × 3,634
  4. Step 4: Simplify right side
    4,046.12x = 22,044,134.72
  5. Step 5: Solve for x
    x = 22,044,134.72/4,046.12
  6. Step 6: Final answer
    x = 5,448.22

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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.