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Finding the Fourth Proportional to 3,021.81, 4,532.06 and 1,539.47

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Solution

The fourth proportional to 3,021.81, 4,532.06 and 1,539.47 is: 2,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.81 : 4,532.06 = 1,539.47 : x
  2. Step 2: Convert to fraction form
    3,021.81/4,532.06 = 1,539.47/x
  3. Step 3: Cross multiply
    3,021.81x = 4,532.06 × 1,539.47
  4. Step 4: Simplify right side
    3,021.81x = 6,976,940.05
  5. Step 5: Solve for x
    x = 6,976,940.05/3,021.81
  6. Step 6: Final answer
    x = 2,308.86

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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.