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Finding the Fourth Proportional to 5,128.66, 7,677.96 and 3,900.94

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Solution

The fourth proportional to 5,128.66, 7,677.96 and 3,900.94 is: 5,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.66 : 7,677.96 = 3,900.94 : x
  2. Step 2: Convert to fraction form
    5,128.66/7,677.96 = 3,900.94/x
  3. Step 3: Cross multiply
    5,128.66x = 7,677.96 × 3,900.94
  4. Step 4: Simplify right side
    5,128.66x = 29,951,261.28
  5. Step 5: Solve for x
    x = 29,951,261.28/5,128.66
  6. Step 6: Final answer
    x = 5,839.98

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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.