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Finding the Fourth Proportional to 4,611.38, 6,917.07 and 1,148.63

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Solution

The fourth proportional to 4,611.38, 6,917.07 and 1,148.63 is: 1,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.38 : 6,917.07 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    4,611.38/6,917.07 = 1,148.63/x
  3. Step 3: Cross multiply
    4,611.38x = 6,917.07 × 1,148.63
  4. Step 4: Simplify right side
    4,611.38x = 7,945,154.11
  5. Step 5: Solve for x
    x = 7,945,154.11/4,611.38
  6. Step 6: Final answer
    x = 1,722.95

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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.