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Finding the Fourth Proportional to 3,216.49, 4,826.59 and 1,735.71

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Solution

The fourth proportional to 3,216.49, 4,826.59 and 1,735.71 is: 2,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.49 : 4,826.59 = 1,735.71 : x
  2. Step 2: Convert to fraction form
    3,216.49/4,826.59 = 1,735.71/x
  3. Step 3: Cross multiply
    3,216.49x = 4,826.59 × 1,735.71
  4. Step 4: Simplify right side
    3,216.49x = 8,377,575.00
  5. Step 5: Solve for x
    x = 8,377,575.00/3,216.49
  6. Step 6: Final answer
    x = 2,604.57

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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.