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Finding the Fourth Proportional to 5,104.86, 7,659.22 and 3,476.76

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Solution

The fourth proportional to 5,104.86, 7,659.22 and 3,476.76 is: 5,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.86 : 7,659.22 = 3,476.76 : x
  2. Step 2: Convert to fraction form
    5,104.86/7,659.22 = 3,476.76/x
  3. Step 3: Cross multiply
    5,104.86x = 7,659.22 × 3,476.76
  4. Step 4: Simplify right side
    5,104.86x = 26,629,269.73
  5. Step 5: Solve for x
    x = 26,629,269.73/5,104.86
  6. Step 6: Final answer
    x = 5,216.45

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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.