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Finding the Fourth Proportional to 5,523.63, 7,622.88 and 3,165.78

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Solution

The fourth proportional to 5,523.63, 7,622.88 and 3,165.78 is: 4,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.63 : 7,622.88 = 3,165.78 : x
  2. Step 2: Convert to fraction form
    5,523.63/7,622.88 = 3,165.78/x
  3. Step 3: Cross multiply
    5,523.63x = 7,622.88 × 3,165.78
  4. Step 4: Simplify right side
    5,523.63x = 24,132,361.05
  5. Step 5: Solve for x
    x = 24,132,361.05/5,523.63
  6. Step 6: Final answer
    x = 4,368.93

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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.