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Finding the Fourth Proportional to 5,104.96, 7,659.87 and 2,330.20

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Solution

The fourth proportional to 5,104.96, 7,659.87 and 2,330.20 is: 3,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.96 : 7,659.87 = 2,330.20 : x
  2. Step 2: Convert to fraction form
    5,104.96/7,659.87 = 2,330.20/x
  3. Step 3: Cross multiply
    5,104.96x = 7,659.87 × 2,330.20
  4. Step 4: Simplify right side
    5,104.96x = 17,849,029.91
  5. Step 5: Solve for x
    x = 17,849,029.91/5,104.96
  6. Step 6: Final answer
    x = 3,496.41

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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.