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Finding the Fourth Proportional to 4,052.31, 5,592.20 and 2,189.31

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Solution

The fourth proportional to 4,052.31, 5,592.20 and 2,189.31 is: 3,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.31 : 5,592.20 = 2,189.31 : x
  2. Step 2: Convert to fraction form
    4,052.31/5,592.20 = 2,189.31/x
  3. Step 3: Cross multiply
    4,052.31x = 5,592.20 × 2,189.31
  4. Step 4: Simplify right side
    4,052.31x = 12,243,059.38
  5. Step 5: Solve for x
    x = 12,243,059.38/4,052.31
  6. Step 6: Final answer
    x = 3,021.25

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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.