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Finding the Fourth Proportional to 3,574.88, 4,933.60 and 2,003.07

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Solution

The fourth proportional to 3,574.88, 4,933.60 and 2,003.07 is: 2,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.88 : 4,933.60 = 2,003.07 : x
  2. Step 2: Convert to fraction form
    3,574.88/4,933.60 = 2,003.07/x
  3. Step 3: Cross multiply
    3,574.88x = 4,933.60 × 2,003.07
  4. Step 4: Simplify right side
    3,574.88x = 9,882,341.14
  5. Step 5: Solve for x
    x = 9,882,341.14/3,574.88
  6. Step 6: Final answer
    x = 2,764.39

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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.