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Finding the Fourth Proportional to 4,661.73, 6,960.24 and 4,614.93

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Solution

The fourth proportional to 4,661.73, 6,960.24 and 4,614.93 is: 6,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.73 : 6,960.24 = 4,614.93 : x
  2. Step 2: Convert to fraction form
    4,661.73/6,960.24 = 4,614.93/x
  3. Step 3: Cross multiply
    4,661.73x = 6,960.24 × 4,614.93
  4. Step 4: Simplify right side
    4,661.73x = 32,121,020.38
  5. Step 5: Solve for x
    x = 32,121,020.38/4,661.73
  6. Step 6: Final answer
    x = 6,890.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.