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Finding the Fourth Proportional to 3,726.66, 5,584.74 and 2,943.21

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Solution

The fourth proportional to 3,726.66, 5,584.74 and 2,943.21 is: 4,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.66 : 5,584.74 = 2,943.21 : x
  2. Step 2: Convert to fraction form
    3,726.66/5,584.74 = 2,943.21/x
  3. Step 3: Cross multiply
    3,726.66x = 5,584.74 × 2,943.21
  4. Step 4: Simplify right side
    3,726.66x = 16,437,062.62
  5. Step 5: Solve for x
    x = 16,437,062.62/3,726.66
  6. Step 6: Final answer
    x = 4,410.67

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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.