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Finding the Fourth Proportional to 3,601.32, 4,969.71 and 2,029.38

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Solution

The fourth proportional to 3,601.32, 4,969.71 and 2,029.38 is: 2,800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.32 : 4,969.71 = 2,029.38 : x
  2. Step 2: Convert to fraction form
    3,601.32/4,969.71 = 2,029.38/x
  3. Step 3: Cross multiply
    3,601.32x = 4,969.71 × 2,029.38
  4. Step 4: Simplify right side
    3,601.32x = 10,085,430.08
  5. Step 5: Solve for x
    x = 10,085,430.08/3,601.32
  6. Step 6: Final answer
    x = 2,800.48

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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.