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Finding the Fourth Proportional to 3,880.70, 5,824.70 and 2,033.14

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Solution

The fourth proportional to 3,880.70, 5,824.70 and 2,033.14 is: 3,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.70 : 5,824.70 = 2,033.14 : x
  2. Step 2: Convert to fraction form
    3,880.70/5,824.70 = 2,033.14/x
  3. Step 3: Cross multiply
    3,880.70x = 5,824.70 × 2,033.14
  4. Step 4: Simplify right side
    3,880.70x = 11,842,430.56
  5. Step 5: Solve for x
    x = 11,842,430.56/3,880.70
  6. Step 6: Final answer
    x = 3,051.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.