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Finding the Fourth Proportional to 3,606.48, 4,976.52 and 2,034.48

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Solution

The fourth proportional to 3,606.48, 4,976.52 and 2,034.48 is: 2,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.48 : 4,976.52 = 2,034.48 : x
  2. Step 2: Convert to fraction form
    3,606.48/4,976.52 = 2,034.48/x
  3. Step 3: Cross multiply
    3,606.48x = 4,976.52 × 2,034.48
  4. Step 4: Simplify right side
    3,606.48x = 10,124,630.41
  5. Step 5: Solve for x
    x = 10,124,630.41/3,606.48
  6. Step 6: Final answer
    x = 2,807.34

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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.