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Finding the Fourth Proportional to 5,002.74, 7,505.73 and 2,405.34

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Solution

The fourth proportional to 5,002.74, 7,505.73 and 2,405.34 is: 3,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.74 : 7,505.73 = 2,405.34 : x
  2. Step 2: Convert to fraction form
    5,002.74/7,505.73 = 2,405.34/x
  3. Step 3: Cross multiply
    5,002.74x = 7,505.73 × 2,405.34
  4. Step 4: Simplify right side
    5,002.74x = 18,053,832.60
  5. Step 5: Solve for x
    x = 18,053,832.60/5,002.74
  6. Step 6: Final answer
    x = 3,608.79

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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.