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Finding the Fourth Proportional to 3,993.81, 5,511.69 and 2,225.46

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Solution

The fourth proportional to 3,993.81, 5,511.69 and 2,225.46 is: 3,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.81 : 5,511.69 = 2,225.46 : x
  2. Step 2: Convert to fraction form
    3,993.81/5,511.69 = 2,225.46/x
  3. Step 3: Cross multiply
    3,993.81x = 5,511.69 × 2,225.46
  4. Step 4: Simplify right side
    3,993.81x = 12,266,045.63
  5. Step 5: Solve for x
    x = 12,266,045.63/3,993.81
  6. Step 6: Final answer
    x = 3,071.26

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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.