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Finding the Fourth Proportional to 4,745.74, 7,119.96 and 1,626.16

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Solution

The fourth proportional to 4,745.74, 7,119.96 and 1,626.16 is: 2,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.74 : 7,119.96 = 1,626.16 : x
  2. Step 2: Convert to fraction form
    4,745.74/7,119.96 = 1,626.16/x
  3. Step 3: Cross multiply
    4,745.74x = 7,119.96 × 1,626.16
  4. Step 4: Simplify right side
    4,745.74x = 11,578,194.15
  5. Step 5: Solve for x
    x = 11,578,194.15/4,745.74
  6. Step 6: Final answer
    x = 2,439.70

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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.