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Finding the Fourth Proportional to 6,166.14, 8,508.17 and 3,647.00

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Solution

The fourth proportional to 6,166.14, 8,508.17 and 3,647.00 is: 5,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.14 : 8,508.17 = 3,647.00 : x
  2. Step 2: Convert to fraction form
    6,166.14/8,508.17 = 3,647.00/x
  3. Step 3: Cross multiply
    6,166.14x = 8,508.17 × 3,647.00
  4. Step 4: Simplify right side
    6,166.14x = 31,029,235.21
  5. Step 5: Solve for x
    x = 31,029,235.21/6,166.14
  6. Step 6: Final answer
    x = 5,032.20

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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.