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Finding the Fourth Proportional to 5,003.82, 7,505.80 and 2,406.16

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Solution

The fourth proportional to 5,003.82, 7,505.80 and 2,406.16 is: 3,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.82 : 7,505.80 = 2,406.16 : x
  2. Step 2: Convert to fraction form
    5,003.82/7,505.80 = 2,406.16/x
  3. Step 3: Cross multiply
    5,003.82x = 7,505.80 × 2,406.16
  4. Step 4: Simplify right side
    5,003.82x = 18,060,155.73
  5. Step 5: Solve for x
    x = 18,060,155.73/5,003.82
  6. Step 6: Final answer
    x = 3,609.27

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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.