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Finding the Fourth Proportional to 5,523.60, 7,623.08 and 3,166

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Solution

The fourth proportional to 5,523.60, 7,623.08 and 3,166 is: 4,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.60 : 7,623.08 = 3,166 : x
  2. Step 2: Convert to fraction form
    5,523.60/7,623.08 = 3,166/x
  3. Step 3: Cross multiply
    5,523.60x = 7,623.08 × 3,166
  4. Step 4: Simplify right side
    5,523.60x = 24,134,671.28
  5. Step 5: Solve for x
    x = 24,134,671.28/5,523.60
  6. Step 6: Final answer
    x = 4,369.37

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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.