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Finding the Fourth Proportional to 3,967.28, 5,980.72 and 3,699.75

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Solution

The fourth proportional to 3,967.28, 5,980.72 and 3,699.75 is: 5,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.28 : 5,980.72 = 3,699.75 : x
  2. Step 2: Convert to fraction form
    3,967.28/5,980.72 = 3,699.75/x
  3. Step 3: Cross multiply
    3,967.28x = 5,980.72 × 3,699.75
  4. Step 4: Simplify right side
    3,967.28x = 22,127,151.02
  5. Step 5: Solve for x
    x = 22,127,151.02/3,967.28
  6. Step 6: Final answer
    x = 5,577.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.