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Finding the Fourth Proportional to 5,406.31, 8,113.11 and 2,119

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Solution

The fourth proportional to 5,406.31, 8,113.11 and 2,119 is: 3,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.31 : 8,113.11 = 2,119 : x
  2. Step 2: Convert to fraction form
    5,406.31/8,113.11 = 2,119/x
  3. Step 3: Cross multiply
    5,406.31x = 8,113.11 × 2,119
  4. Step 4: Simplify right side
    5,406.31x = 17,191,680.09
  5. Step 5: Solve for x
    x = 17,191,680.09/5,406.31
  6. Step 6: Final answer
    x = 3,179.93

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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.