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Finding the Fourth Proportional to 5,521.50, 8,283.16 and 1,823.94

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Solution

The fourth proportional to 5,521.50, 8,283.16 and 1,823.94 is: 2,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.50 : 8,283.16 = 1,823.94 : x
  2. Step 2: Convert to fraction form
    5,521.50/8,283.16 = 1,823.94/x
  3. Step 3: Cross multiply
    5,521.50x = 8,283.16 × 1,823.94
  4. Step 4: Simplify right side
    5,521.50x = 15,107,986.85
  5. Step 5: Solve for x
    x = 15,107,986.85/5,521.50
  6. Step 6: Final answer
    x = 2,736.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.