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Finding the Fourth Proportional to 5,822.42, 8,035.43 and 3,305.30

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Solution

The fourth proportional to 5,822.42, 8,035.43 and 3,305.30 is: 4,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.42 : 8,035.43 = 3,305.30 : x
  2. Step 2: Convert to fraction form
    5,822.42/8,035.43 = 3,305.30/x
  3. Step 3: Cross multiply
    5,822.42x = 8,035.43 × 3,305.30
  4. Step 4: Simplify right side
    5,822.42x = 26,559,450.08
  5. Step 5: Solve for x
    x = 26,559,450.08/5,822.42
  6. Step 6: Final answer
    x = 4,561.59

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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.