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Finding the Fourth Proportional to 3,407.73, 5,108.88 and 3,134.37

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Solution

The fourth proportional to 3,407.73, 5,108.88 and 3,134.37 is: 4,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.73 : 5,108.88 = 3,134.37 : x
  2. Step 2: Convert to fraction form
    3,407.73/5,108.88 = 3,134.37/x
  3. Step 3: Cross multiply
    3,407.73x = 5,108.88 × 3,134.37
  4. Step 4: Simplify right side
    3,407.73x = 16,013,120.21
  5. Step 5: Solve for x
    x = 16,013,120.21/3,407.73
  6. Step 6: Final answer
    x = 4,699.06

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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.