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Finding the Fourth Proportional to 6,174.68, 8,524.24 and 4,289.54

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Solution

The fourth proportional to 6,174.68, 8,524.24 and 4,289.54 is: 5,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.68 : 8,524.24 = 4,289.54 : x
  2. Step 2: Convert to fraction form
    6,174.68/8,524.24 = 4,289.54/x
  3. Step 3: Cross multiply
    6,174.68x = 8,524.24 × 4,289.54
  4. Step 4: Simplify right side
    6,174.68x = 36,565,015.10
  5. Step 5: Solve for x
    x = 36,565,015.10/6,174.68
  6. Step 6: Final answer
    x = 5,921.77

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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.