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Finding the Fourth Proportional to 5,228.04, 7,845.87 and 3,999

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Solution

The fourth proportional to 5,228.04, 7,845.87 and 3,999 is: 6,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.04 : 7,845.87 = 3,999 : x
  2. Step 2: Convert to fraction form
    5,228.04/7,845.87 = 3,999/x
  3. Step 3: Cross multiply
    5,228.04x = 7,845.87 × 3,999
  4. Step 4: Simplify right side
    5,228.04x = 31,375,634.13
  5. Step 5: Solve for x
    x = 31,375,634.13/5,228.04
  6. Step 6: Final answer
    x = 6,001.41

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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.