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Finding the Fourth Proportional to 4,506.96, 6,763.28 and 4,469.82

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Solution

The fourth proportional to 4,506.96, 6,763.28 and 4,469.82 is: 6,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.96 : 6,763.28 = 4,469.82 : x
  2. Step 2: Convert to fraction form
    4,506.96/6,763.28 = 4,469.82/x
  3. Step 3: Cross multiply
    4,506.96x = 6,763.28 × 4,469.82
  4. Step 4: Simplify right side
    4,506.96x = 30,230,644.21
  5. Step 5: Solve for x
    x = 30,230,644.21/4,506.96
  6. Step 6: Final answer
    x = 6,707.55

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