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Finding the Fourth Proportional to 3,009.57, 4,513.19 and 1,034.82

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Solution

The fourth proportional to 3,009.57, 4,513.19 and 1,034.82 is: 1,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.57 : 4,513.19 = 1,034.82 : x
  2. Step 2: Convert to fraction form
    3,009.57/4,513.19 = 1,034.82/x
  3. Step 3: Cross multiply
    3,009.57x = 4,513.19 × 1,034.82
  4. Step 4: Simplify right side
    3,009.57x = 4,670,351.03
  5. Step 5: Solve for x
    x = 4,670,351.03/3,009.57
  6. Step 6: Final answer
    x = 1,551.83

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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.