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Finding the Fourth Proportional to 3,491.07, 4,817.78 and 1,999.14

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Solution

The fourth proportional to 3,491.07, 4,817.78 and 1,999.14 is: 2,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.07 : 4,817.78 = 1,999.14 : x
  2. Step 2: Convert to fraction form
    3,491.07/4,817.78 = 1,999.14/x
  3. Step 3: Cross multiply
    3,491.07x = 4,817.78 × 1,999.14
  4. Step 4: Simplify right side
    3,491.07x = 9,631,406.71
  5. Step 5: Solve for x
    x = 9,631,406.71/3,491.07
  6. Step 6: Final answer
    x = 2,758.87

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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.