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Finding the Fourth Proportional to 4,791.04, 6,614.91 and 3,670

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Solution

The fourth proportional to 4,791.04, 6,614.91 and 3,670 is: 5,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.04 : 6,614.91 = 3,670 : x
  2. Step 2: Convert to fraction form
    4,791.04/6,614.91 = 3,670/x
  3. Step 3: Cross multiply
    4,791.04x = 6,614.91 × 3,670
  4. Step 4: Simplify right side
    4,791.04x = 24,276,719.70
  5. Step 5: Solve for x
    x = 24,276,719.70/4,791.04
  6. Step 6: Final answer
    x = 5,067.11

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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.