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Finding the Fourth Proportional to 4,089.34, 5,643.42 and 2,321.22

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Solution

The fourth proportional to 4,089.34, 5,643.42 and 2,321.22 is: 3,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.34 : 5,643.42 = 2,321.22 : x
  2. Step 2: Convert to fraction form
    4,089.34/5,643.42 = 2,321.22/x
  3. Step 3: Cross multiply
    4,089.34x = 5,643.42 × 2,321.22
  4. Step 4: Simplify right side
    4,089.34x = 13,099,619.37
  5. Step 5: Solve for x
    x = 13,099,619.37/4,089.34
  6. Step 6: Final answer
    x = 3,203.36

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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.