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Finding the Fourth Proportional to 3,487.84, 5,236.36 and 2,028

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Solution

The fourth proportional to 3,487.84, 5,236.36 and 2,028 is: 3,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.84 : 5,236.36 = 2,028 : x
  2. Step 2: Convert to fraction form
    3,487.84/5,236.36 = 2,028/x
  3. Step 3: Cross multiply
    3,487.84x = 5,236.36 × 2,028
  4. Step 4: Simplify right side
    3,487.84x = 10,619,338.08
  5. Step 5: Solve for x
    x = 10,619,338.08/3,487.84
  6. Step 6: Final answer
    x = 3,044.67

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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.