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Finding the Fourth Proportional to 3,641.63, 5,025.44 and 2,069.82

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Solution

The fourth proportional to 3,641.63, 5,025.44 and 2,069.82 is: 2,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.63 : 5,025.44 = 2,069.82 : x
  2. Step 2: Convert to fraction form
    3,641.63/5,025.44 = 2,069.82/x
  3. Step 3: Cross multiply
    3,641.63x = 5,025.44 × 2,069.82
  4. Step 4: Simplify right side
    3,641.63x = 10,401,761.40
  5. Step 5: Solve for x
    x = 10,401,761.40/3,641.63
  6. Step 6: Final answer
    x = 2,856.35

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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.