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Finding the Fourth Proportional to 3,234.64, 4,852.88 and 1,591.68

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Solution

The fourth proportional to 3,234.64, 4,852.88 and 1,591.68 is: 2,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.64 : 4,852.88 = 1,591.68 : x
  2. Step 2: Convert to fraction form
    3,234.64/4,852.88 = 1,591.68/x
  3. Step 3: Cross multiply
    3,234.64x = 4,852.88 × 1,591.68
  4. Step 4: Simplify right side
    3,234.64x = 7,724,232.04
  5. Step 5: Solve for x
    x = 7,724,232.04/3,234.64
  6. Step 6: Final answer
    x = 2,387.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.