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Finding the Fourth Proportional to 3,768.67, 5,651.17 and 1,302.62

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Solution

The fourth proportional to 3,768.67, 5,651.17 and 1,302.62 is: 1,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.67 : 5,651.17 = 1,302.62 : x
  2. Step 2: Convert to fraction form
    3,768.67/5,651.17 = 1,302.62/x
  3. Step 3: Cross multiply
    3,768.67x = 5,651.17 × 1,302.62
  4. Step 4: Simplify right side
    3,768.67x = 7,361,327.07
  5. Step 5: Solve for x
    x = 7,361,327.07/3,768.67
  6. Step 6: Final answer
    x = 1,953.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.