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Finding the Fourth Proportional to 6,137.73, 8,469.30 and 3,485.10

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Solution

The fourth proportional to 6,137.73, 8,469.30 and 3,485.10 is: 4,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.73 : 8,469.30 = 3,485.10 : x
  2. Step 2: Convert to fraction form
    6,137.73/8,469.30 = 3,485.10/x
  3. Step 3: Cross multiply
    6,137.73x = 8,469.30 × 3,485.10
  4. Step 4: Simplify right side
    6,137.73x = 29,516,357.43
  5. Step 5: Solve for x
    x = 29,516,357.43/6,137.73
  6. Step 6: Final answer
    x = 4,809.00

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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.