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Finding the Fourth Proportional to 4,196.56, 6,294.90 and 2,119.18

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Solution

The fourth proportional to 4,196.56, 6,294.90 and 2,119.18 is: 3,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.56 : 6,294.90 = 2,119.18 : x
  2. Step 2: Convert to fraction form
    4,196.56/6,294.90 = 2,119.18/x
  3. Step 3: Cross multiply
    4,196.56x = 6,294.90 × 2,119.18
  4. Step 4: Simplify right side
    4,196.56x = 13,340,026.18
  5. Step 5: Solve for x
    x = 13,340,026.18/4,196.56
  6. Step 6: Final answer
    x = 3,178.80

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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.