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Finding the Fourth Proportional to 5,834.76, 8,754 and 5,486.70

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Solution

The fourth proportional to 5,834.76, 8,754 and 5,486.70 is: 8,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.76 : 8,754 = 5,486.70 : x
  2. Step 2: Convert to fraction form
    5,834.76/8,754 = 5,486.70/x
  3. Step 3: Cross multiply
    5,834.76x = 8,754 × 5,486.70
  4. Step 4: Simplify right side
    5,834.76x = 48,030,571.80
  5. Step 5: Solve for x
    x = 48,030,571.80/5,834.76
  6. Step 6: Final answer
    x = 8,231.80

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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.