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Finding the Fourth Proportional to 3,592.56, 5,385 and 2,563.44

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Solution

The fourth proportional to 3,592.56, 5,385 and 2,563.44 is: 3,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.56 : 5,385 = 2,563.44 : x
  2. Step 2: Convert to fraction form
    3,592.56/5,385 = 2,563.44/x
  3. Step 3: Cross multiply
    3,592.56x = 5,385 × 2,563.44
  4. Step 4: Simplify right side
    3,592.56x = 13,804,124.40
  5. Step 5: Solve for x
    x = 13,804,124.40/3,592.56
  6. Step 6: Final answer
    x = 3,842.42

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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.