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Finding the Fourth Proportional to 4,066.56, 5,609.16 and 3,757.32

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Solution

The fourth proportional to 4,066.56, 5,609.16 and 3,757.32 is: 5,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.56 : 5,609.16 = 3,757.32 : x
  2. Step 2: Convert to fraction form
    4,066.56/5,609.16 = 3,757.32/x
  3. Step 3: Cross multiply
    4,066.56x = 5,609.16 × 3,757.32
  4. Step 4: Simplify right side
    4,066.56x = 21,075,409.05
  5. Step 5: Solve for x
    x = 21,075,409.05/4,066.56
  6. Step 6: Final answer
    x = 5,182.61

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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.