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Finding the Fourth Proportional to 5,205.82, 7,809.41 and 2,740.81

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Solution

The fourth proportional to 5,205.82, 7,809.41 and 2,740.81 is: 4,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.82 : 7,809.41 = 2,740.81 : x
  2. Step 2: Convert to fraction form
    5,205.82/7,809.41 = 2,740.81/x
  3. Step 3: Cross multiply
    5,205.82x = 7,809.41 × 2,740.81
  4. Step 4: Simplify right side
    5,205.82x = 21,404,132.96
  5. Step 5: Solve for x
    x = 21,404,132.96/5,205.82
  6. Step 6: Final answer
    x = 4,111.58

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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.