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Finding the Fourth Proportional to 3,762.09, 5,190.08 and 2,269.16

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Solution

The fourth proportional to 3,762.09, 5,190.08 and 2,269.16 is: 3,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.09 : 5,190.08 = 2,269.16 : x
  2. Step 2: Convert to fraction form
    3,762.09/5,190.08 = 2,269.16/x
  3. Step 3: Cross multiply
    3,762.09x = 5,190.08 × 2,269.16
  4. Step 4: Simplify right side
    3,762.09x = 11,777,121.93
  5. Step 5: Solve for x
    x = 11,777,121.93/3,762.09
  6. Step 6: Final answer
    x = 3,130.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.