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Finding the Fourth Proportional to 4,168.54, 5,745.91 and 2,823.74

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Solution

The fourth proportional to 4,168.54, 5,745.91 and 2,823.74 is: 3,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.54 : 5,745.91 = 2,823.74 : x
  2. Step 2: Convert to fraction form
    4,168.54/5,745.91 = 2,823.74/x
  3. Step 3: Cross multiply
    4,168.54x = 5,745.91 × 2,823.74
  4. Step 4: Simplify right side
    4,168.54x = 16,224,955.90
  5. Step 5: Solve for x
    x = 16,224,955.90/4,168.54
  6. Step 6: Final answer
    x = 3,892.24

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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.