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Finding the Fourth Proportional to 3,782.11, 5,673.18 and 1,473.61

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Solution

The fourth proportional to 3,782.11, 5,673.18 and 1,473.61 is: 2,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.11 : 5,673.18 = 1,473.61 : x
  2. Step 2: Convert to fraction form
    3,782.11/5,673.18 = 1,473.61/x
  3. Step 3: Cross multiply
    3,782.11x = 5,673.18 × 1,473.61
  4. Step 4: Simplify right side
    3,782.11x = 8,360,054.78
  5. Step 5: Solve for x
    x = 8,360,054.78/3,782.11
  6. Step 6: Final answer
    x = 2,210.42

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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.