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Finding the Fourth Proportional to 5,723.96, 8,585.84 and 4,173.80

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Solution

The fourth proportional to 5,723.96, 8,585.84 and 4,173.80 is: 6,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.96 : 8,585.84 = 4,173.80 : x
  2. Step 2: Convert to fraction form
    5,723.96/8,585.84 = 4,173.80/x
  3. Step 3: Cross multiply
    5,723.96x = 8,585.84 × 4,173.80
  4. Step 4: Simplify right side
    5,723.96x = 35,835,546.50
  5. Step 5: Solve for x
    x = 35,835,546.50/5,723.96
  6. Step 6: Final answer
    x = 6,260.63

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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.