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Finding the Fourth Proportional to 3,468.43, 4,785.95 and 1,976.06

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Solution

The fourth proportional to 3,468.43, 4,785.95 and 1,976.06 is: 2,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.43 : 4,785.95 = 1,976.06 : x
  2. Step 2: Convert to fraction form
    3,468.43/4,785.95 = 1,976.06/x
  3. Step 3: Cross multiply
    3,468.43x = 4,785.95 × 1,976.06
  4. Step 4: Simplify right side
    3,468.43x = 9,457,305.37
  5. Step 5: Solve for x
    x = 9,457,305.37/3,468.43
  6. Step 6: Final answer
    x = 2,726.68

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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.