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Finding the Fourth Proportional to 5,817.36, 8,027.88 and 3,828.99

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Solution

The fourth proportional to 5,817.36, 8,027.88 and 3,828.99 is: 5,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.36 : 8,027.88 = 3,828.99 : x
  2. Step 2: Convert to fraction form
    5,817.36/8,027.88 = 3,828.99/x
  3. Step 3: Cross multiply
    5,817.36x = 8,027.88 × 3,828.99
  4. Step 4: Simplify right side
    5,817.36x = 30,738,672.24
  5. Step 5: Solve for x
    x = 30,738,672.24/5,817.36
  6. Step 6: Final answer
    x = 5,283.96

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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.