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Finding the Fourth Proportional to 3,666.84, 5,497.74 and 1,936.68

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Solution

The fourth proportional to 3,666.84, 5,497.74 and 1,936.68 is: 2,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.84 : 5,497.74 = 1,936.68 : x
  2. Step 2: Convert to fraction form
    3,666.84/5,497.74 = 1,936.68/x
  3. Step 3: Cross multiply
    3,666.84x = 5,497.74 × 1,936.68
  4. Step 4: Simplify right side
    3,666.84x = 10,647,363.10
  5. Step 5: Solve for x
    x = 10,647,363.10/3,666.84
  6. Step 6: Final answer
    x = 2,903.69

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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.