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Finding the Fourth Proportional to 4,900.40, 6,762.47 and 2,662.26

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Solution

The fourth proportional to 4,900.40, 6,762.47 and 2,662.26 is: 3,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.40 : 6,762.47 = 2,662.26 : x
  2. Step 2: Convert to fraction form
    4,900.40/6,762.47 = 2,662.26/x
  3. Step 3: Cross multiply
    4,900.40x = 6,762.47 × 2,662.26
  4. Step 4: Simplify right side
    4,900.40x = 18,003,453.38
  5. Step 5: Solve for x
    x = 18,003,453.38/4,900.40
  6. Step 6: Final answer
    x = 3,673.87

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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.