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Finding the Fourth Proportional to 3,414.84, 5,111.74 and 1,911.76

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Solution

The fourth proportional to 3,414.84, 5,111.74 and 1,911.76 is: 2,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.84 : 5,111.74 = 1,911.76 : x
  2. Step 2: Convert to fraction form
    3,414.84/5,111.74 = 1,911.76/x
  3. Step 3: Cross multiply
    3,414.84x = 5,111.74 × 1,911.76
  4. Step 4: Simplify right side
    3,414.84x = 9,772,420.06
  5. Step 5: Solve for x
    x = 9,772,420.06/3,414.84
  6. Step 6: Final answer
    x = 2,861.75

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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.