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Finding the Fourth Proportional to 3,603.85, 5,404.86 and 1,382.22

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Solution

The fourth proportional to 3,603.85, 5,404.86 and 1,382.22 is: 2,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.85 : 5,404.86 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    3,603.85/5,404.86 = 1,382.22/x
  3. Step 3: Cross multiply
    3,603.85x = 5,404.86 × 1,382.22
  4. Step 4: Simplify right side
    3,603.85x = 7,470,705.59
  5. Step 5: Solve for x
    x = 7,470,705.59/3,603.85
  6. Step 6: Final answer
    x = 2,072.98

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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.