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Finding the Fourth Proportional to 3,794.76, 5,691 and 2,038.68

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Solution

The fourth proportional to 3,794.76, 5,691 and 2,038.68 is: 3,057.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.76 : 5,691 = 2,038.68 : x
  2. Step 2: Convert to fraction form
    3,794.76/5,691 = 2,038.68/x
  3. Step 3: Cross multiply
    3,794.76x = 5,691 × 2,038.68
  4. Step 4: Simplify right side
    3,794.76x = 11,602,127.88
  5. Step 5: Solve for x
    x = 11,602,127.88/3,794.76
  6. Step 6: Final answer
    x = 3,057.41

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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.