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Finding the Fourth Proportional to 3,574.77, 4,933.43 and 2,002.96

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Solution

The fourth proportional to 3,574.77, 4,933.43 and 2,002.96 is: 2,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.77 : 4,933.43 = 2,002.96 : x
  2. Step 2: Convert to fraction form
    3,574.77/4,933.43 = 2,002.96/x
  3. Step 3: Cross multiply
    3,574.77x = 4,933.43 × 2,002.96
  4. Step 4: Simplify right side
    3,574.77x = 9,881,462.95
  5. Step 5: Solve for x
    x = 9,881,462.95/3,574.77
  6. Step 6: Final answer
    x = 2,764.22

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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.