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Finding the Fourth Proportional to 4,764.30, 7,134.30 and 3,792.30

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Solution

The fourth proportional to 4,764.30, 7,134.30 and 3,792.30 is: 5,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.30 : 7,134.30 = 3,792.30 : x
  2. Step 2: Convert to fraction form
    4,764.30/7,134.30 = 3,792.30/x
  3. Step 3: Cross multiply
    4,764.30x = 7,134.30 × 3,792.30
  4. Step 4: Simplify right side
    4,764.30x = 27,055,405.89
  5. Step 5: Solve for x
    x = 27,055,405.89/4,764.30
  6. Step 6: Final answer
    x = 5,678.78

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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.