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Finding the Fourth Proportional to 6,197.77, 8,552.91 and 3,546.64

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Solution

The fourth proportional to 6,197.77, 8,552.91 and 3,546.64 is: 4,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.77 : 8,552.91 = 3,546.64 : x
  2. Step 2: Convert to fraction form
    6,197.77/8,552.91 = 3,546.64/x
  3. Step 3: Cross multiply
    6,197.77x = 8,552.91 × 3,546.64
  4. Step 4: Simplify right side
    6,197.77x = 30,334,092.72
  5. Step 5: Solve for x
    x = 30,334,092.72/6,197.77
  6. Step 6: Final answer
    x = 4,894.36

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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.