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Finding the Fourth Proportional to 5,745.36, 8,618.04 and 3,146.88

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Solution

The fourth proportional to 5,745.36, 8,618.04 and 3,146.88 is: 4,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.36 : 8,618.04 = 3,146.88 : x
  2. Step 2: Convert to fraction form
    5,745.36/8,618.04 = 3,146.88/x
  3. Step 3: Cross multiply
    5,745.36x = 8,618.04 × 3,146.88
  4. Step 4: Simplify right side
    5,745.36x = 27,119,937.72
  5. Step 5: Solve for x
    x = 27,119,937.72/5,745.36
  6. Step 6: Final answer
    x = 4,720.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.