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Finding the Fourth Proportional to 5,797.85, 8,007.68 and 3,817.26

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Solution

The fourth proportional to 5,797.85, 8,007.68 and 3,817.26 is: 5,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.85 : 8,007.68 = 3,817.26 : x
  2. Step 2: Convert to fraction form
    5,797.85/8,007.68 = 3,817.26/x
  3. Step 3: Cross multiply
    5,797.85x = 8,007.68 × 3,817.26
  4. Step 4: Simplify right side
    5,797.85x = 30,567,406.10
  5. Step 5: Solve for x
    x = 30,567,406.10/5,797.85
  6. Step 6: Final answer
    x = 5,272.20

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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.