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Finding the Fourth Proportional to 3,651.75, 5,473.98 and 2,009.07

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Solution

The fourth proportional to 3,651.75, 5,473.98 and 2,009.07 is: 3,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 5,473.98 = 2,009.07 : x
  2. Step 2: Convert to fraction form
    3,651.75/5,473.98 = 2,009.07/x
  3. Step 3: Cross multiply
    3,651.75x = 5,473.98 × 2,009.07
  4. Step 4: Simplify right side
    3,651.75x = 10,997,609.00
  5. Step 5: Solve for x
    x = 10,997,609.00/3,651.75
  6. Step 6: Final answer
    x = 3,011.60

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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.