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Finding the Fourth Proportional to 5,257.32, 7,886.34 and 3,179.64

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Solution

The fourth proportional to 5,257.32, 7,886.34 and 3,179.64 is: 4,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.32 : 7,886.34 = 3,179.64 : x
  2. Step 2: Convert to fraction form
    5,257.32/7,886.34 = 3,179.64/x
  3. Step 3: Cross multiply
    5,257.32x = 7,886.34 × 3,179.64
  4. Step 4: Simplify right side
    5,257.32x = 25,075,722.12
  5. Step 5: Solve for x
    x = 25,075,722.12/5,257.32
  6. Step 6: Final answer
    x = 4,769.68

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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.