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Finding the Fourth Proportional to 3,873.48, 5,344.98 and 2,194.86

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Solution

The fourth proportional to 3,873.48, 5,344.98 and 2,194.86 is: 3,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.48 : 5,344.98 = 2,194.86 : x
  2. Step 2: Convert to fraction form
    3,873.48/5,344.98 = 2,194.86/x
  3. Step 3: Cross multiply
    3,873.48x = 5,344.98 × 2,194.86
  4. Step 4: Simplify right side
    3,873.48x = 11,731,482.80
  5. Step 5: Solve for x
    x = 11,731,482.80/3,873.48
  6. Step 6: Final answer
    x = 3,028.67

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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.