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Finding the Fourth Proportional to 5,971.76, 8,242.02 and 3,453.44

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Solution

The fourth proportional to 5,971.76, 8,242.02 and 3,453.44 is: 4,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.76 : 8,242.02 = 3,453.44 : x
  2. Step 2: Convert to fraction form
    5,971.76/8,242.02 = 3,453.44/x
  3. Step 3: Cross multiply
    5,971.76x = 8,242.02 × 3,453.44
  4. Step 4: Simplify right side
    5,971.76x = 28,463,321.55
  5. Step 5: Solve for x
    x = 28,463,321.55/5,971.76
  6. Step 6: Final answer
    x = 4,766.32

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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.