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Finding the Fourth Proportional to 5,216.67, 7,826.09 and 1,707.21

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Solution

The fourth proportional to 5,216.67, 7,826.09 and 1,707.21 is: 2,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.67 : 7,826.09 = 1,707.21 : x
  2. Step 2: Convert to fraction form
    5,216.67/7,826.09 = 1,707.21/x
  3. Step 3: Cross multiply
    5,216.67x = 7,826.09 × 1,707.21
  4. Step 4: Simplify right side
    5,216.67x = 13,360,770.57
  5. Step 5: Solve for x
    x = 13,360,770.57/5,216.67
  6. Step 6: Final answer
    x = 2,561.17

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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.