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Finding the Fourth Proportional to 3,971.33, 5,475.93 and 2,533.77

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Solution

The fourth proportional to 3,971.33, 5,475.93 and 2,533.77 is: 3,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.33 : 5,475.93 = 2,533.77 : x
  2. Step 2: Convert to fraction form
    3,971.33/5,475.93 = 2,533.77/x
  3. Step 3: Cross multiply
    3,971.33x = 5,475.93 × 2,533.77
  4. Step 4: Simplify right side
    3,971.33x = 13,874,747.16
  5. Step 5: Solve for x
    x = 13,874,747.16/3,971.33
  6. Step 6: Final answer
    x = 3,493.73

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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.