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Finding the Fourth Proportional to 4,766.24, 7,144.40 and 1,645.16

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Solution

The fourth proportional to 4,766.24, 7,144.40 and 1,645.16 is: 2,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.24 : 7,144.40 = 1,645.16 : x
  2. Step 2: Convert to fraction form
    4,766.24/7,144.40 = 1,645.16/x
  3. Step 3: Cross multiply
    4,766.24x = 7,144.40 × 1,645.16
  4. Step 4: Simplify right side
    4,766.24x = 11,753,689.68
  5. Step 5: Solve for x
    x = 11,753,689.68/4,766.24
  6. Step 6: Final answer
    x = 2,466.03

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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.