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Finding the Fourth Proportional to 5,406.96, 8,109.20 and 1,511.76

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Solution

The fourth proportional to 5,406.96, 8,109.20 and 1,511.76 is: 2,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.96 : 8,109.20 = 1,511.76 : x
  2. Step 2: Convert to fraction form
    5,406.96/8,109.20 = 1,511.76/x
  3. Step 3: Cross multiply
    5,406.96x = 8,109.20 × 1,511.76
  4. Step 4: Simplify right side
    5,406.96x = 12,259,164.19
  5. Step 5: Solve for x
    x = 12,259,164.19/5,406.96
  6. Step 6: Final answer
    x = 2,267.29

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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.