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Finding the Fourth Proportional to 5,709.38, 8,559.96 and 2,705.76

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Solution

The fourth proportional to 5,709.38, 8,559.96 and 2,705.76 is: 4,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.38 : 8,559.96 = 2,705.76 : x
  2. Step 2: Convert to fraction form
    5,709.38/8,559.96 = 2,705.76/x
  3. Step 3: Cross multiply
    5,709.38x = 8,559.96 × 2,705.76
  4. Step 4: Simplify right side
    5,709.38x = 23,161,197.37
  5. Step 5: Solve for x
    x = 23,161,197.37/5,709.38
  6. Step 6: Final answer
    x = 4,056.70

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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.