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Finding the Fourth Proportional to 3,762.11, 5,644.08 and 1,129.61

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Solution

The fourth proportional to 3,762.11, 5,644.08 and 1,129.61 is: 1,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.11 : 5,644.08 = 1,129.61 : x
  2. Step 2: Convert to fraction form
    3,762.11/5,644.08 = 1,129.61/x
  3. Step 3: Cross multiply
    3,762.11x = 5,644.08 × 1,129.61
  4. Step 4: Simplify right side
    3,762.11x = 6,375,623.32
  5. Step 5: Solve for x
    x = 6,375,623.32/3,762.11
  6. Step 6: Final answer
    x = 1,694.69

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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.