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Finding the Fourth Proportional to 4,320.42, 5,923.97 and 3,899.22

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Solution

The fourth proportional to 4,320.42, 5,923.97 and 3,899.22 is: 5,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.42 : 5,923.97 = 3,899.22 : x
  2. Step 2: Convert to fraction form
    4,320.42/5,923.97 = 3,899.22/x
  3. Step 3: Cross multiply
    4,320.42x = 5,923.97 × 3,899.22
  4. Step 4: Simplify right side
    4,320.42x = 23,098,842.81
  5. Step 5: Solve for x
    x = 23,098,842.81/4,320.42
  6. Step 6: Final answer
    x = 5,346.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.