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Finding the Fourth Proportional to 6,201.77, 8,557.92 and 3,407.27

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Solution

The fourth proportional to 6,201.77, 8,557.92 and 3,407.27 is: 4,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.77 : 8,557.92 = 3,407.27 : x
  2. Step 2: Convert to fraction form
    6,201.77/8,557.92 = 3,407.27/x
  3. Step 3: Cross multiply
    6,201.77x = 8,557.92 × 3,407.27
  4. Step 4: Simplify right side
    6,201.77x = 29,159,144.08
  5. Step 5: Solve for x
    x = 29,159,144.08/6,201.77
  6. Step 6: Final answer
    x = 4,701.75

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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.