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Finding the Fourth Proportional to 3,999.14, 5,513.90 and 3,288.50

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Solution

The fourth proportional to 3,999.14, 5,513.90 and 3,288.50 is: 4,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.14 : 5,513.90 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    3,999.14/5,513.90 = 3,288.50/x
  3. Step 3: Cross multiply
    3,999.14x = 5,513.90 × 3,288.50
  4. Step 4: Simplify right side
    3,999.14x = 18,132,460.15
  5. Step 5: Solve for x
    x = 18,132,460.15/3,999.14
  6. Step 6: Final answer
    x = 4,534.09

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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.