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Finding the Fourth Proportional to 3,707.75, 5,112.50 and 3,033.42

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Solution

The fourth proportional to 3,707.75, 5,112.50 and 3,033.42 is: 4,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.75 : 5,112.50 = 3,033.42 : x
  2. Step 2: Convert to fraction form
    3,707.75/5,112.50 = 3,033.42/x
  3. Step 3: Cross multiply
    3,707.75x = 5,112.50 × 3,033.42
  4. Step 4: Simplify right side
    3,707.75x = 15,508,344.58
  5. Step 5: Solve for x
    x = 15,508,344.58/3,707.75
  6. Step 6: Final answer
    x = 4,182.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.