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Finding the Fourth Proportional to 5,631.18, 7,771.24 and 3,739.50

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Solution

The fourth proportional to 5,631.18, 7,771.24 and 3,739.50 is: 5,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.18 : 7,771.24 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    5,631.18/7,771.24 = 3,739.50/x
  3. Step 3: Cross multiply
    5,631.18x = 7,771.24 × 3,739.50
  4. Step 4: Simplify right side
    5,631.18x = 29,060,513.12
  5. Step 5: Solve for x
    x = 29,060,513.12/5,631.18
  6. Step 6: Final answer
    x = 5,160.65

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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.