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Finding the Fourth Proportional to 3,234.56, 4,432.60 and 2,923.52

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Solution

The fourth proportional to 3,234.56, 4,432.60 and 2,923.52 is: 4,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.56 : 4,432.60 = 2,923.52 : x
  2. Step 2: Convert to fraction form
    3,234.56/4,432.60 = 2,923.52/x
  3. Step 3: Cross multiply
    3,234.56x = 4,432.60 × 2,923.52
  4. Step 4: Simplify right side
    3,234.56x = 12,958,794.75
  5. Step 5: Solve for x
    x = 12,958,794.75/3,234.56
  6. Step 6: Final answer
    x = 4,006.35

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.