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Finding the Fourth Proportional to 3,763.31, 5,643.83 and 1,422.52

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Solution

The fourth proportional to 3,763.31, 5,643.83 and 1,422.52 is: 2,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.31 : 5,643.83 = 1,422.52 : x
  2. Step 2: Convert to fraction form
    3,763.31/5,643.83 = 1,422.52/x
  3. Step 3: Cross multiply
    3,763.31x = 5,643.83 × 1,422.52
  4. Step 4: Simplify right side
    3,763.31x = 8,028,450.50
  5. Step 5: Solve for x
    x = 8,028,450.50/3,763.31
  6. Step 6: Final answer
    x = 2,133.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.