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Finding the Fourth Proportional to 4,698.25, 6,480.46 and 3,021.78

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Solution

The fourth proportional to 4,698.25, 6,480.46 and 3,021.78 is: 4,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.25 : 6,480.46 = 3,021.78 : x
  2. Step 2: Convert to fraction form
    4,698.25/6,480.46 = 3,021.78/x
  3. Step 3: Cross multiply
    4,698.25x = 6,480.46 × 3,021.78
  4. Step 4: Simplify right side
    4,698.25x = 19,582,542.77
  5. Step 5: Solve for x
    x = 19,582,542.77/4,698.25
  6. Step 6: Final answer
    x = 4,168.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.