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Finding the Fourth Proportional to 3,665.36, 5,056.92 and 2,546

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Solution

The fourth proportional to 3,665.36, 5,056.92 and 2,546 is: 3,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.36 : 5,056.92 = 2,546 : x
  2. Step 2: Convert to fraction form
    3,665.36/5,056.92 = 2,546/x
  3. Step 3: Cross multiply
    3,665.36x = 5,056.92 × 2,546
  4. Step 4: Simplify right side
    3,665.36x = 12,874,918.32
  5. Step 5: Solve for x
    x = 12,874,918.32/3,665.36
  6. Step 6: Final answer
    x = 3,512.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.