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Finding the Fourth Proportional to 3,771.16, 5,657.26 and 1,305.32

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Solution

The fourth proportional to 3,771.16, 5,657.26 and 1,305.32 is: 1,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.16 : 5,657.26 = 1,305.32 : x
  2. Step 2: Convert to fraction form
    3,771.16/5,657.26 = 1,305.32/x
  3. Step 3: Cross multiply
    3,771.16x = 5,657.26 × 1,305.32
  4. Step 4: Simplify right side
    3,771.16x = 7,384,534.62
  5. Step 5: Solve for x
    x = 7,384,534.62/3,771.16
  6. Step 6: Final answer
    x = 1,958.16

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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.