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Finding the Fourth Proportional to 3,535.22, 4,878.61 and 1,963.32

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Solution

The fourth proportional to 3,535.22, 4,878.61 and 1,963.32 is: 2,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.22 : 4,878.61 = 1,963.32 : x
  2. Step 2: Convert to fraction form
    3,535.22/4,878.61 = 1,963.32/x
  3. Step 3: Cross multiply
    3,535.22x = 4,878.61 × 1,963.32
  4. Step 4: Simplify right side
    3,535.22x = 9,578,267.68
  5. Step 5: Solve for x
    x = 9,578,267.68/3,535.22
  6. Step 6: Final answer
    x = 2,709.39

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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.