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Finding the Fourth Proportional to 4,668.72, 6,445.83 and 2,902.73

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Solution

The fourth proportional to 4,668.72, 6,445.83 and 2,902.73 is: 4,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.72 : 6,445.83 = 2,902.73 : x
  2. Step 2: Convert to fraction form
    4,668.72/6,445.83 = 2,902.73/x
  3. Step 3: Cross multiply
    4,668.72x = 6,445.83 × 2,902.73
  4. Step 4: Simplify right side
    4,668.72x = 18,710,471.89
  5. Step 5: Solve for x
    x = 18,710,471.89/4,668.72
  6. Step 6: Final answer
    x = 4,007.62

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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.