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Finding the Fourth Proportional to 4,698.44, 6,482.06 and 3,105.85

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Solution

The fourth proportional to 4,698.44, 6,482.06 and 3,105.85 is: 4,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.44 : 6,482.06 = 3,105.85 : x
  2. Step 2: Convert to fraction form
    4,698.44/6,482.06 = 3,105.85/x
  3. Step 3: Cross multiply
    4,698.44x = 6,482.06 × 3,105.85
  4. Step 4: Simplify right side
    4,698.44x = 20,132,258.11
  5. Step 5: Solve for x
    x = 20,132,258.11/4,698.44
  6. Step 6: Final answer
    x = 4,284.88

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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.