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Finding the Fourth Proportional to 4,171.68, 6,258.21 and 1,705.85

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Solution

The fourth proportional to 4,171.68, 6,258.21 and 1,705.85 is: 2,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.68 : 6,258.21 = 1,705.85 : x
  2. Step 2: Convert to fraction form
    4,171.68/6,258.21 = 1,705.85/x
  3. Step 3: Cross multiply
    4,171.68x = 6,258.21 × 1,705.85
  4. Step 4: Simplify right side
    4,171.68x = 10,675,536.24
  5. Step 5: Solve for x
    x = 10,675,536.24/4,171.68
  6. Step 6: Final answer
    x = 2,559.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.