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Finding the Fourth Proportional to 5,293.80, 7,938.30 and 2,005.80

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Solution

The fourth proportional to 5,293.80, 7,938.30 and 2,005.80 is: 3,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.80 : 7,938.30 = 2,005.80 : x
  2. Step 2: Convert to fraction form
    5,293.80/7,938.30 = 2,005.80/x
  3. Step 3: Cross multiply
    5,293.80x = 7,938.30 × 2,005.80
  4. Step 4: Simplify right side
    5,293.80x = 15,922,642.14
  5. Step 5: Solve for x
    x = 15,922,642.14/5,293.80
  6. Step 6: Final answer
    x = 3,007.79

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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.