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Finding the Fourth Proportional to 5,096.54, 7,643.88 and 1,764.80

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Solution

The fourth proportional to 5,096.54, 7,643.88 and 1,764.80 is: 2,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.54 : 7,643.88 = 1,764.80 : x
  2. Step 2: Convert to fraction form
    5,096.54/7,643.88 = 1,764.80/x
  3. Step 3: Cross multiply
    5,096.54x = 7,643.88 × 1,764.80
  4. Step 4: Simplify right side
    5,096.54x = 13,489,919.42
  5. Step 5: Solve for x
    x = 13,489,919.42/5,096.54
  6. Step 6: Final answer
    x = 2,646.88

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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.