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Finding the Fourth Proportional to 4,856.67, 7,284.21 and 1,736.19

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Solution

The fourth proportional to 4,856.67, 7,284.21 and 1,736.19 is: 2,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.67 : 7,284.21 = 1,736.19 : x
  2. Step 2: Convert to fraction form
    4,856.67/7,284.21 = 1,736.19/x
  3. Step 3: Cross multiply
    4,856.67x = 7,284.21 × 1,736.19
  4. Step 4: Simplify right side
    4,856.67x = 12,646,772.56
  5. Step 5: Solve for x
    x = 12,646,772.56/4,856.67
  6. Step 6: Final answer
    x = 2,604.00

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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.