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Finding the Fourth Proportional to 5,755.12, 7,941.72 and 3,271.12

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Solution

The fourth proportional to 5,755.12, 7,941.72 and 3,271.12 is: 4,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.12 : 7,941.72 = 3,271.12 : x
  2. Step 2: Convert to fraction form
    5,755.12/7,941.72 = 3,271.12/x
  3. Step 3: Cross multiply
    5,755.12x = 7,941.72 × 3,271.12
  4. Step 4: Simplify right side
    5,755.12x = 25,978,319.13
  5. Step 5: Solve for x
    x = 25,978,319.13/5,755.12
  6. Step 6: Final answer
    x = 4,513.95

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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.