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Finding the Fourth Proportional to 3,574.68, 4,933.26 and 2,002.86

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Solution

The fourth proportional to 3,574.68, 4,933.26 and 2,002.86 is: 2,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.68 : 4,933.26 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    3,574.68/4,933.26 = 2,002.86/x
  3. Step 3: Cross multiply
    3,574.68x = 4,933.26 × 2,002.86
  4. Step 4: Simplify right side
    3,574.68x = 9,880,629.12
  5. Step 5: Solve for x
    x = 9,880,629.12/3,574.68
  6. Step 6: Final answer
    x = 2,764.06

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Why These Related Problems?

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