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Finding the Fourth Proportional to 3,535.44, 4,878.80 and 1,963.52

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Solution

The fourth proportional to 3,535.44, 4,878.80 and 1,963.52 is: 2,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.44 : 4,878.80 = 1,963.52 : x
  2. Step 2: Convert to fraction form
    3,535.44/4,878.80 = 1,963.52/x
  3. Step 3: Cross multiply
    3,535.44x = 4,878.80 × 1,963.52
  4. Step 4: Simplify right side
    3,535.44x = 9,579,621.38
  5. Step 5: Solve for x
    x = 9,579,621.38/3,535.44
  6. Step 6: Final answer
    x = 2,709.60

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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.