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Finding the Fourth Proportional to 4,611.74, 6,912.74 and 2,298.38

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Solution

The fourth proportional to 4,611.74, 6,912.74 and 2,298.38 is: 3,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.74 : 6,912.74 = 2,298.38 : x
  2. Step 2: Convert to fraction form
    4,611.74/6,912.74 = 2,298.38/x
  3. Step 3: Cross multiply
    4,611.74x = 6,912.74 × 2,298.38
  4. Step 4: Simplify right side
    4,611.74x = 15,888,074.54
  5. Step 5: Solve for x
    x = 15,888,074.54/4,611.74
  6. Step 6: Final answer
    x = 3,445.14

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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.