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Finding the Fourth Proportional to 3,194.84, 4,409.24 and 2,837.94

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Solution

The fourth proportional to 3,194.84, 4,409.24 and 2,837.94 is: 3,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.84 : 4,409.24 = 2,837.94 : x
  2. Step 2: Convert to fraction form
    3,194.84/4,409.24 = 2,837.94/x
  3. Step 3: Cross multiply
    3,194.84x = 4,409.24 × 2,837.94
  4. Step 4: Simplify right side
    3,194.84x = 12,513,127.84
  5. Step 5: Solve for x
    x = 12,513,127.84/3,194.84
  6. Step 6: Final answer
    x = 3,916.67

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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.