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Finding the Fourth Proportional to 3,523.38, 5,287.77 and 1,334.22

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Solution

The fourth proportional to 3,523.38, 5,287.77 and 1,334.22 is: 2,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.38 : 5,287.77 = 1,334.22 : x
  2. Step 2: Convert to fraction form
    3,523.38/5,287.77 = 1,334.22/x
  3. Step 3: Cross multiply
    3,523.38x = 5,287.77 × 1,334.22
  4. Step 4: Simplify right side
    3,523.38x = 7,055,048.49
  5. Step 5: Solve for x
    x = 7,055,048.49/3,523.38
  6. Step 6: Final answer
    x = 2,002.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.