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Finding the Fourth Proportional to 3,574.14, 4,934.61 and 2,912.57

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Solution

The fourth proportional to 3,574.14, 4,934.61 and 2,912.57 is: 4,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.14 : 4,934.61 = 2,912.57 : x
  2. Step 2: Convert to fraction form
    3,574.14/4,934.61 = 2,912.57/x
  3. Step 3: Cross multiply
    3,574.14x = 4,934.61 × 2,912.57
  4. Step 4: Simplify right side
    3,574.14x = 14,372,390.88
  5. Step 5: Solve for x
    x = 14,372,390.88/3,574.14
  6. Step 6: Final answer
    x = 4,021.22

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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.