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Finding the Fourth Proportional to 5,814.09, 8,027.21 and 3,663.74

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Solution

The fourth proportional to 5,814.09, 8,027.21 and 3,663.74 is: 5,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.09 : 8,027.21 = 3,663.74 : x
  2. Step 2: Convert to fraction form
    5,814.09/8,027.21 = 3,663.74/x
  3. Step 3: Cross multiply
    5,814.09x = 8,027.21 × 3,663.74
  4. Step 4: Simplify right side
    5,814.09x = 29,409,551.91
  5. Step 5: Solve for x
    x = 29,409,551.91/5,814.09
  6. Step 6: Final answer
    x = 5,058.33

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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.