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Finding the Fourth Proportional to 2,796.32, 4,197.36 and 2,588.96

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Solution

The fourth proportional to 2,796.32, 4,197.36 and 2,588.96 is: 3,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.32 : 4,197.36 = 2,588.96 : x
  2. Step 2: Convert to fraction form
    2,796.32/4,197.36 = 2,588.96/x
  3. Step 3: Cross multiply
    2,796.32x = 4,197.36 × 2,588.96
  4. Step 4: Simplify right side
    2,796.32x = 10,866,797.15
  5. Step 5: Solve for x
    x = 10,866,797.15/2,796.32
  6. Step 6: Final answer
    x = 3,886.11

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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.