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Finding the Fourth Proportional to 3,789, 5,680.62 and 2,055.24

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Solution

The fourth proportional to 3,789, 5,680.62 and 2,055.24 is: 3,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789 : 5,680.62 = 2,055.24 : x
  2. Step 2: Convert to fraction form
    3,789/5,680.62 = 2,055.24/x
  3. Step 3: Cross multiply
    3,789x = 5,680.62 × 2,055.24
  4. Step 4: Simplify right side
    3,789x = 11,675,037.45
  5. Step 5: Solve for x
    x = 11,675,037.45/3,789
  6. Step 6: Final answer
    x = 3,081.30

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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.