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Finding the Fourth Proportional to 3,762.69, 5,640.93 and 3,352.70

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Solution

The fourth proportional to 3,762.69, 5,640.93 and 3,352.70 is: 5,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.69 : 5,640.93 = 3,352.70 : x
  2. Step 2: Convert to fraction form
    3,762.69/5,640.93 = 3,352.70/x
  3. Step 3: Cross multiply
    3,762.69x = 5,640.93 × 3,352.70
  4. Step 4: Simplify right side
    3,762.69x = 18,912,346.01
  5. Step 5: Solve for x
    x = 18,912,346.01/3,762.69
  6. Step 6: Final answer
    x = 5,026.28

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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.