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Finding the Fourth Proportional to 5,809.95, 8,021.16 and 3,823.92

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Solution

The fourth proportional to 5,809.95, 8,021.16 and 3,823.92 is: 5,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.95 : 8,021.16 = 3,823.92 : x
  2. Step 2: Convert to fraction form
    5,809.95/8,021.16 = 3,823.92/x
  3. Step 3: Cross multiply
    5,809.95x = 8,021.16 × 3,823.92
  4. Step 4: Simplify right side
    5,809.95x = 30,672,274.15
  5. Step 5: Solve for x
    x = 30,672,274.15/5,809.95
  6. Step 6: Final answer
    x = 5,279.27

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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.