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Finding the Fourth Proportional to 4,705.25, 7,057.10 and 1,745.09

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Solution

The fourth proportional to 4,705.25, 7,057.10 and 1,745.09 is: 2,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.25 : 7,057.10 = 1,745.09 : x
  2. Step 2: Convert to fraction form
    4,705.25/7,057.10 = 1,745.09/x
  3. Step 3: Cross multiply
    4,705.25x = 7,057.10 × 1,745.09
  4. Step 4: Simplify right side
    4,705.25x = 12,315,230.63
  5. Step 5: Solve for x
    x = 12,315,230.63/4,705.25
  6. Step 6: Final answer
    x = 2,617.34

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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.