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Finding the Fourth Proportional to 5,817, 8,024.76 and 3,691.56

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Solution

The fourth proportional to 5,817, 8,024.76 and 3,691.56 is: 5,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817 : 8,024.76 = 3,691.56 : x
  2. Step 2: Convert to fraction form
    5,817/8,024.76 = 3,691.56/x
  3. Step 3: Cross multiply
    5,817x = 8,024.76 × 3,691.56
  4. Step 4: Simplify right side
    5,817x = 29,623,883.03
  5. Step 5: Solve for x
    x = 29,623,883.03/5,817
  6. Step 6: Final answer
    x = 5,092.64

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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.