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Finding the Fourth Proportional to 3,500.39, 4,830.75 and 1,928.48

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Solution

The fourth proportional to 3,500.39, 4,830.75 and 1,928.48 is: 2,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.39 : 4,830.75 = 1,928.48 : x
  2. Step 2: Convert to fraction form
    3,500.39/4,830.75 = 1,928.48/x
  3. Step 3: Cross multiply
    3,500.39x = 4,830.75 × 1,928.48
  4. Step 4: Simplify right side
    3,500.39x = 9,315,998.72
  5. Step 5: Solve for x
    x = 9,315,998.72/3,500.39
  6. Step 6: Final answer
    x = 2,661.42

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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.