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Finding the Fourth Proportional to 3,856.49, 5,784.00 and 1,880.14

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Solution

The fourth proportional to 3,856.49, 5,784.00 and 1,880.14 is: 2,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.49 : 5,784.00 = 1,880.14 : x
  2. Step 2: Convert to fraction form
    3,856.49/5,784.00 = 1,880.14/x
  3. Step 3: Cross multiply
    3,856.49x = 5,784.00 × 1,880.14
  4. Step 4: Simplify right side
    3,856.49x = 10,874,707.98
  5. Step 5: Solve for x
    x = 10,874,707.98/3,856.49
  6. Step 6: Final answer
    x = 2,819.85

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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.