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Finding the Fourth Proportional to 3,414.84, 5,119.06 and 1,852.55

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Solution

The fourth proportional to 3,414.84, 5,119.06 and 1,852.55 is: 2,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.84 : 5,119.06 = 1,852.55 : x
  2. Step 2: Convert to fraction form
    3,414.84/5,119.06 = 1,852.55/x
  3. Step 3: Cross multiply
    3,414.84x = 5,119.06 × 1,852.55
  4. Step 4: Simplify right side
    3,414.84x = 9,483,305.34
  5. Step 5: Solve for x
    x = 9,483,305.34/3,414.84
  6. Step 6: Final answer
    x = 2,777.09

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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.