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Finding the Fourth Proportional to 5,647.56, 7,793.01 and 3,129.60

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Solution

The fourth proportional to 5,647.56, 7,793.01 and 3,129.60 is: 4,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.56 : 7,793.01 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    5,647.56/7,793.01 = 3,129.60/x
  3. Step 3: Cross multiply
    5,647.56x = 7,793.01 × 3,129.60
  4. Step 4: Simplify right side
    5,647.56x = 24,389,004.10
  5. Step 5: Solve for x
    x = 24,389,004.10/5,647.56
  6. Step 6: Final answer
    x = 4,318.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.