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Finding the Fourth Proportional to 5,236.64, 7,854.96 and 1,772.96

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Solution

The fourth proportional to 5,236.64, 7,854.96 and 1,772.96 is: 2,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.64 : 7,854.96 = 1,772.96 : x
  2. Step 2: Convert to fraction form
    5,236.64/7,854.96 = 1,772.96/x
  3. Step 3: Cross multiply
    5,236.64x = 7,854.96 × 1,772.96
  4. Step 4: Simplify right side
    5,236.64x = 13,926,529.88
  5. Step 5: Solve for x
    x = 13,926,529.88/5,236.64
  6. Step 6: Final answer
    x = 2,659.44

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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.