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Finding the Fourth Proportional to 4,611, 6,917.25 and 1,491.79

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Solution

The fourth proportional to 4,611, 6,917.25 and 1,491.79 is: 2,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611 : 6,917.25 = 1,491.79 : x
  2. Step 2: Convert to fraction form
    4,611/6,917.25 = 1,491.79/x
  3. Step 3: Cross multiply
    4,611x = 6,917.25 × 1,491.79
  4. Step 4: Simplify right side
    4,611x = 10,319,084.38
  5. Step 5: Solve for x
    x = 10,319,084.38/4,611
  6. Step 6: Final answer
    x = 2,237.93

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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.