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Finding the Fourth Proportional to 5,968.67, 8,236.71 and 3,450.78

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Solution

The fourth proportional to 5,968.67, 8,236.71 and 3,450.78 is: 4,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.67 : 8,236.71 = 3,450.78 : x
  2. Step 2: Convert to fraction form
    5,968.67/8,236.71 = 3,450.78/x
  3. Step 3: Cross multiply
    5,968.67x = 8,236.71 × 3,450.78
  4. Step 4: Simplify right side
    5,968.67x = 28,423,074.13
  5. Step 5: Solve for x
    x = 28,423,074.13/5,968.67
  6. Step 6: Final answer
    x = 4,762.05

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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.