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Finding the Fourth Proportional to 6,197.80, 8,549.39 and 3,957.16

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Solution

The fourth proportional to 6,197.80, 8,549.39 and 3,957.16 is: 5,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.80 : 8,549.39 = 3,957.16 : x
  2. Step 2: Convert to fraction form
    6,197.80/8,549.39 = 3,957.16/x
  3. Step 3: Cross multiply
    6,197.80x = 8,549.39 × 3,957.16
  4. Step 4: Simplify right side
    6,197.80x = 33,831,272.87
  5. Step 5: Solve for x
    x = 33,831,272.87/6,197.80
  6. Step 6: Final answer
    x = 5,458.59

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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.