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Finding the Fourth Proportional to 4,601.18, 6,902.74 and 2,627.74

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Solution

The fourth proportional to 4,601.18, 6,902.74 and 2,627.74 is: 3,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.18 : 6,902.74 = 2,627.74 : x
  2. Step 2: Convert to fraction form
    4,601.18/6,902.74 = 2,627.74/x
  3. Step 3: Cross multiply
    4,601.18x = 6,902.74 × 2,627.74
  4. Step 4: Simplify right side
    4,601.18x = 18,138,558.36
  5. Step 5: Solve for x
    x = 18,138,558.36/4,601.18
  6. Step 6: Final answer
    x = 3,942.16

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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.