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Finding the Fourth Proportional to 3,574.62, 4,932.51 and 2,003

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Solution

The fourth proportional to 3,574.62, 4,932.51 and 2,003 is: 2,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.62 : 4,932.51 = 2,003 : x
  2. Step 2: Convert to fraction form
    3,574.62/4,932.51 = 2,003/x
  3. Step 3: Cross multiply
    3,574.62x = 4,932.51 × 2,003
  4. Step 4: Simplify right side
    3,574.62x = 9,879,817.53
  5. Step 5: Solve for x
    x = 9,879,817.53/3,574.62
  6. Step 6: Final answer
    x = 2,763.88

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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.