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Finding the Fourth Proportional to 5,728.58, 8,591.50 and 4,186.74

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Solution

The fourth proportional to 5,728.58, 8,591.50 and 4,186.74 is: 6,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.58 : 8,591.50 = 4,186.74 : x
  2. Step 2: Convert to fraction form
    5,728.58/8,591.50 = 4,186.74/x
  3. Step 3: Cross multiply
    5,728.58x = 8,591.50 × 4,186.74
  4. Step 4: Simplify right side
    5,728.58x = 35,970,376.71
  5. Step 5: Solve for x
    x = 35,970,376.71/5,728.58
  6. Step 6: Final answer
    x = 6,279.11

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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.