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Finding the Fourth Proportional to 5,120.64, 7,679.64 and 1,423.20

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Solution

The fourth proportional to 5,120.64, 7,679.64 and 1,423.20 is: 2,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.64 : 7,679.64 = 1,423.20 : x
  2. Step 2: Convert to fraction form
    5,120.64/7,679.64 = 1,423.20/x
  3. Step 3: Cross multiply
    5,120.64x = 7,679.64 × 1,423.20
  4. Step 4: Simplify right side
    5,120.64x = 10,929,663.65
  5. Step 5: Solve for x
    x = 10,929,663.65/5,120.64
  6. Step 6: Final answer
    x = 2,134.43

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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.