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Finding the Fourth Proportional to 4,698.59, 6,481.13 and 3,022.19

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Solution

The fourth proportional to 4,698.59, 6,481.13 and 3,022.19 is: 4,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.59 : 6,481.13 = 3,022.19 : x
  2. Step 2: Convert to fraction form
    4,698.59/6,481.13 = 3,022.19/x
  3. Step 3: Cross multiply
    4,698.59x = 6,481.13 × 3,022.19
  4. Step 4: Simplify right side
    4,698.59x = 19,587,158.76
  5. Step 5: Solve for x
    x = 19,587,158.76/4,698.59
  6. Step 6: Final answer
    x = 4,168.73

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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.