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Finding the Fourth Proportional to 4,305.16, 5,922.48 and 3,771.64

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Solution

The fourth proportional to 4,305.16, 5,922.48 and 3,771.64 is: 5,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.16 : 5,922.48 = 3,771.64 : x
  2. Step 2: Convert to fraction form
    4,305.16/5,922.48 = 3,771.64/x
  3. Step 3: Cross multiply
    4,305.16x = 5,922.48 × 3,771.64
  4. Step 4: Simplify right side
    4,305.16x = 22,337,462.47
  5. Step 5: Solve for x
    x = 22,337,462.47/4,305.16
  6. Step 6: Final answer
    x = 5,188.53

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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.