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Finding the Fourth Proportional to 5,222.63, 7,833.95 and 1,759.88

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Solution

The fourth proportional to 5,222.63, 7,833.95 and 1,759.88 is: 2,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.63 : 7,833.95 = 1,759.88 : x
  2. Step 2: Convert to fraction form
    5,222.63/7,833.95 = 1,759.88/x
  3. Step 3: Cross multiply
    5,222.63x = 7,833.95 × 1,759.88
  4. Step 4: Simplify right side
    5,222.63x = 13,786,763.96
  5. Step 5: Solve for x
    x = 13,786,763.96/5,222.63
  6. Step 6: Final answer
    x = 2,639.82

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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.