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Finding the Fourth Proportional to 3,647, 5,032.86 and 2,076

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Solution

The fourth proportional to 3,647, 5,032.86 and 2,076 is: 2,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647 : 5,032.86 = 2,076 : x
  2. Step 2: Convert to fraction form
    3,647/5,032.86 = 2,076/x
  3. Step 3: Cross multiply
    3,647x = 5,032.86 × 2,076
  4. Step 4: Simplify right side
    3,647x = 10,448,217.36
  5. Step 5: Solve for x
    x = 10,448,217.36/3,647
  6. Step 6: Final answer
    x = 2,864.88

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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.