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Finding the Fourth Proportional to 5,941.25, 8,201.09 and 3,457.25

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Solution

The fourth proportional to 5,941.25, 8,201.09 and 3,457.25 is: 4,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.25 : 8,201.09 = 3,457.25 : x
  2. Step 2: Convert to fraction form
    5,941.25/8,201.09 = 3,457.25/x
  3. Step 3: Cross multiply
    5,941.25x = 8,201.09 × 3,457.25
  4. Step 4: Simplify right side
    5,941.25x = 28,353,201.12
  5. Step 5: Solve for x
    x = 28,353,201.12/5,941.25
  6. Step 6: Final answer
    x = 4,772.26

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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.