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Finding the Fourth Proportional to 5,009.40, 7,505.64 and 2,231.82

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Solution

The fourth proportional to 5,009.40, 7,505.64 and 2,231.82 is: 3,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.40 : 7,505.64 = 2,231.82 : x
  2. Step 2: Convert to fraction form
    5,009.40/7,505.64 = 2,231.82/x
  3. Step 3: Cross multiply
    5,009.40x = 7,505.64 × 2,231.82
  4. Step 4: Simplify right side
    5,009.40x = 16,751,237.46
  5. Step 5: Solve for x
    x = 16,751,237.46/5,009.40
  6. Step 6: Final answer
    x = 3,343.96

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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.