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Finding the Fourth Proportional to 3,463.92, 5,196.42 and 1,905.48

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Solution

The fourth proportional to 3,463.92, 5,196.42 and 1,905.48 is: 2,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.92 : 5,196.42 = 1,905.48 : x
  2. Step 2: Convert to fraction form
    3,463.92/5,196.42 = 1,905.48/x
  3. Step 3: Cross multiply
    3,463.92x = 5,196.42 × 1,905.48
  4. Step 4: Simplify right side
    3,463.92x = 9,901,674.38
  5. Step 5: Solve for x
    x = 9,901,674.38/3,463.92
  6. Step 6: Final answer
    x = 2,858.52

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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.