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Finding the Fourth Proportional to 4,878.40, 6,730.38 and 3,109.60

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Solution

The fourth proportional to 4,878.40, 6,730.38 and 3,109.60 is: 4,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.40 : 6,730.38 = 3,109.60 : x
  2. Step 2: Convert to fraction form
    4,878.40/6,730.38 = 3,109.60/x
  3. Step 3: Cross multiply
    4,878.40x = 6,730.38 × 3,109.60
  4. Step 4: Simplify right side
    4,878.40x = 20,928,789.65
  5. Step 5: Solve for x
    x = 20,928,789.65/4,878.40
  6. Step 6: Final answer
    x = 4,290.09

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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.