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Finding the Fourth Proportional to 4,089.66, 5,643.27 and 2,321.34

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Solution

The fourth proportional to 4,089.66, 5,643.27 and 2,321.34 is: 3,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.66 : 5,643.27 = 2,321.34 : x
  2. Step 2: Convert to fraction form
    4,089.66/5,643.27 = 2,321.34/x
  3. Step 3: Cross multiply
    4,089.66x = 5,643.27 × 2,321.34
  4. Step 4: Simplify right side
    4,089.66x = 13,099,948.38
  5. Step 5: Solve for x
    x = 13,099,948.38/4,089.66
  6. Step 6: Final answer
    x = 3,203.19

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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.