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Finding the Fourth Proportional to 5,817, 8,728.53 and 3,186.42

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Solution

The fourth proportional to 5,817, 8,728.53 and 3,186.42 is: 4,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817 : 8,728.53 = 3,186.42 : x
  2. Step 2: Convert to fraction form
    5,817/8,728.53 = 3,186.42/x
  3. Step 3: Cross multiply
    5,817x = 8,728.53 × 3,186.42
  4. Step 4: Simplify right side
    5,817x = 27,812,762.56
  5. Step 5: Solve for x
    x = 27,812,762.56/5,817
  6. Step 6: Final answer
    x = 4,781.29

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1.5x scale

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.