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Finding the Fourth Proportional to 3,812.43, 5,708.61 and 3,068.07

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Solution

The fourth proportional to 3,812.43, 5,708.61 and 3,068.07 is: 4,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.43 : 5,708.61 = 3,068.07 : x
  2. Step 2: Convert to fraction form
    3,812.43/5,708.61 = 3,068.07/x
  3. Step 3: Cross multiply
    3,812.43x = 5,708.61 × 3,068.07
  4. Step 4: Simplify right side
    3,812.43x = 17,514,415.08
  5. Step 5: Solve for x
    x = 17,514,415.08/3,812.43
  6. Step 6: Final answer
    x = 4,594.03

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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.