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Finding the Fourth Proportional to 5,941.28, 8,197.98 and 3,817.28

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Solution

The fourth proportional to 5,941.28, 8,197.98 and 3,817.28 is: 5,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.28 : 8,197.98 = 3,817.28 : x
  2. Step 2: Convert to fraction form
    5,941.28/8,197.98 = 3,817.28/x
  3. Step 3: Cross multiply
    5,941.28x = 8,197.98 × 3,817.28
  4. Step 4: Simplify right side
    5,941.28x = 31,293,985.09
  5. Step 5: Solve for x
    x = 31,293,985.09/5,941.28
  6. Step 6: Final answer
    x = 5,267.21

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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.