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Finding the Fourth Proportional to 5,222.08, 7,833.12 and 1,759.44

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Solution

The fourth proportional to 5,222.08, 7,833.12 and 1,759.44 is: 2,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.08 : 7,833.12 = 1,759.44 : x
  2. Step 2: Convert to fraction form
    5,222.08/7,833.12 = 1,759.44/x
  3. Step 3: Cross multiply
    5,222.08x = 7,833.12 × 1,759.44
  4. Step 4: Simplify right side
    5,222.08x = 13,781,904.65
  5. Step 5: Solve for x
    x = 13,781,904.65/5,222.08
  6. Step 6: Final answer
    x = 2,639.16

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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.