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Finding the Fourth Proportional to 5,232.56, 7,848.84 and 1,336.96

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Solution

The fourth proportional to 5,232.56, 7,848.84 and 1,336.96 is: 2,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.56 : 7,848.84 = 1,336.96 : x
  2. Step 2: Convert to fraction form
    5,232.56/7,848.84 = 1,336.96/x
  3. Step 3: Cross multiply
    5,232.56x = 7,848.84 × 1,336.96
  4. Step 4: Simplify right side
    5,232.56x = 10,493,585.13
  5. Step 5: Solve for x
    x = 10,493,585.13/5,232.56
  6. Step 6: Final answer
    x = 2,005.44

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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.