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Finding the Fourth Proportional to 4,436.09, 6,654 and 1,149.06

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Solution

The fourth proportional to 4,436.09, 6,654 and 1,149.06 is: 1,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.09 : 6,654 = 1,149.06 : x
  2. Step 2: Convert to fraction form
    4,436.09/6,654 = 1,149.06/x
  3. Step 3: Cross multiply
    4,436.09x = 6,654 × 1,149.06
  4. Step 4: Simplify right side
    4,436.09x = 7,645,845.24
  5. Step 5: Solve for x
    x = 7,645,845.24/4,436.09
  6. Step 6: Final answer
    x = 1,723.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.