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Finding the Fourth Proportional to 5,231.77, 7,845.57 and 2,308

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Solution

The fourth proportional to 5,231.77, 7,845.57 and 2,308 is: 3,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.77 : 7,845.57 = 2,308 : x
  2. Step 2: Convert to fraction form
    5,231.77/7,845.57 = 2,308/x
  3. Step 3: Cross multiply
    5,231.77x = 7,845.57 × 2,308
  4. Step 4: Simplify right side
    5,231.77x = 18,107,575.56
  5. Step 5: Solve for x
    x = 18,107,575.56/5,231.77
  6. Step 6: Final answer
    x = 3,461.08

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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.