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Finding the Fourth Proportional to 3,762.49, 5,194.38 and 2,271.01

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Solution

The fourth proportional to 3,762.49, 5,194.38 and 2,271.01 is: 3,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.49 : 5,194.38 = 2,271.01 : x
  2. Step 2: Convert to fraction form
    3,762.49/5,194.38 = 2,271.01/x
  3. Step 3: Cross multiply
    3,762.49x = 5,194.38 × 2,271.01
  4. Step 4: Simplify right side
    3,762.49x = 11,796,488.92
  5. Step 5: Solve for x
    x = 11,796,488.92/3,762.49
  6. Step 6: Final answer
    x = 3,135.29

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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.