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Finding the Fourth Proportional to 5,216.45, 7,824.68 and 1,706.83

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Solution

The fourth proportional to 5,216.45, 7,824.68 and 1,706.83 is: 2,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.45 : 7,824.68 = 1,706.83 : x
  2. Step 2: Convert to fraction form
    5,216.45/7,824.68 = 1,706.83/x
  3. Step 3: Cross multiply
    5,216.45x = 7,824.68 × 1,706.83
  4. Step 4: Simplify right side
    5,216.45x = 13,355,383.27
  5. Step 5: Solve for x
    x = 13,355,383.27/5,216.45
  6. Step 6: Final answer
    x = 2,560.24

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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.