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Finding the Fourth Proportional to 3,784.09, 5,221.19 and 2,291.98

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Solution

The fourth proportional to 3,784.09, 5,221.19 and 2,291.98 is: 3,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.09 : 5,221.19 = 2,291.98 : x
  2. Step 2: Convert to fraction form
    3,784.09/5,221.19 = 2,291.98/x
  3. Step 3: Cross multiply
    3,784.09x = 5,221.19 × 2,291.98
  4. Step 4: Simplify right side
    3,784.09x = 11,966,855.73
  5. Step 5: Solve for x
    x = 11,966,855.73/3,784.09
  6. Step 6: Final answer
    x = 3,162.42

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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.