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Finding the Fourth Proportional to 5,406.44, 8,105.02 and 2,077.08

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Solution

The fourth proportional to 5,406.44, 8,105.02 and 2,077.08 is: 3,113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.44 : 8,105.02 = 2,077.08 : x
  2. Step 2: Convert to fraction form
    5,406.44/8,105.02 = 2,077.08/x
  3. Step 3: Cross multiply
    5,406.44x = 8,105.02 × 2,077.08
  4. Step 4: Simplify right side
    5,406.44x = 16,834,774.94
  5. Step 5: Solve for x
    x = 16,834,774.94/5,406.44
  6. Step 6: Final answer
    x = 3,113.84

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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.