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Finding the Fourth Proportional to 5,821.67, 8,024.47 and 4,927.43

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Solution

The fourth proportional to 5,821.67, 8,024.47 and 4,927.43 is: 6,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.67 : 8,024.47 = 4,927.43 : x
  2. Step 2: Convert to fraction form
    5,821.67/8,024.47 = 4,927.43/x
  3. Step 3: Cross multiply
    5,821.67x = 8,024.47 × 4,927.43
  4. Step 4: Simplify right side
    5,821.67x = 39,540,021.95
  5. Step 5: Solve for x
    x = 39,540,021.95/5,821.67
  6. Step 6: Final answer
    x = 6,791.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.