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Finding the Fourth Proportional to 4,211.19, 6,317.19 and 1,745.96

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Solution

The fourth proportional to 4,211.19, 6,317.19 and 1,745.96 is: 2,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.19 : 6,317.19 = 1,745.96 : x
  2. Step 2: Convert to fraction form
    4,211.19/6,317.19 = 1,745.96/x
  3. Step 3: Cross multiply
    4,211.19x = 6,317.19 × 1,745.96
  4. Step 4: Simplify right side
    4,211.19x = 11,029,529.47
  5. Step 5: Solve for x
    x = 11,029,529.47/4,211.19
  6. Step 6: Final answer
    x = 2,619.10

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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.