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Finding the Fourth Proportional to 5,697.96, 7,861.02 and 3,458.99

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Solution

The fourth proportional to 5,697.96, 7,861.02 and 3,458.99 is: 4,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.96 : 7,861.02 = 3,458.99 : x
  2. Step 2: Convert to fraction form
    5,697.96/7,861.02 = 3,458.99/x
  3. Step 3: Cross multiply
    5,697.96x = 7,861.02 × 3,458.99
  4. Step 4: Simplify right side
    5,697.96x = 27,191,150.26
  5. Step 5: Solve for x
    x = 27,191,150.26/5,697.96
  6. Step 6: Final answer
    x = 4,772.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.