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Finding the Fourth Proportional to 3,897.90, 5,379.12 and 2,219.22

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Solution

The fourth proportional to 3,897.90, 5,379.12 and 2,219.22 is: 3,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.90 : 5,379.12 = 2,219.22 : x
  2. Step 2: Convert to fraction form
    3,897.90/5,379.12 = 2,219.22/x
  3. Step 3: Cross multiply
    3,897.90x = 5,379.12 × 2,219.22
  4. Step 4: Simplify right side
    3,897.90x = 11,937,450.69
  5. Step 5: Solve for x
    x = 11,937,450.69/3,897.90
  6. Step 6: Final answer
    x = 3,062.53

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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.