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Finding the Fourth Proportional to 5,447.94, 7,519.50 and 3,091.50

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Solution

The fourth proportional to 5,447.94, 7,519.50 and 3,091.50 is: 4,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.94 : 7,519.50 = 3,091.50 : x
  2. Step 2: Convert to fraction form
    5,447.94/7,519.50 = 3,091.50/x
  3. Step 3: Cross multiply
    5,447.94x = 7,519.50 × 3,091.50
  4. Step 4: Simplify right side
    5,447.94x = 23,246,534.25
  5. Step 5: Solve for x
    x = 23,246,534.25/5,447.94
  6. Step 6: Final answer
    x = 4,267.03

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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.