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Finding the Fourth Proportional to 6,133.97, 8,465.64 and 3,481.49

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Solution

The fourth proportional to 6,133.97, 8,465.64 and 3,481.49 is: 4,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.97 : 8,465.64 = 3,481.49 : x
  2. Step 2: Convert to fraction form
    6,133.97/8,465.64 = 3,481.49/x
  3. Step 3: Cross multiply
    6,133.97x = 8,465.64 × 3,481.49
  4. Step 4: Simplify right side
    6,133.97x = 29,473,041.00
  5. Step 5: Solve for x
    x = 29,473,041.00/6,133.97
  6. Step 6: Final answer
    x = 4,804.89

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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.