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Finding the Fourth Proportional to 5,171.60, 7,757.40 and 1,709.12

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Solution

The fourth proportional to 5,171.60, 7,757.40 and 1,709.12 is: 2,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.60 : 7,757.40 = 1,709.12 : x
  2. Step 2: Convert to fraction form
    5,171.60/7,757.40 = 1,709.12/x
  3. Step 3: Cross multiply
    5,171.60x = 7,757.40 × 1,709.12
  4. Step 4: Simplify right side
    5,171.60x = 13,258,327.49
  5. Step 5: Solve for x
    x = 13,258,327.49/5,171.60
  6. Step 6: Final answer
    x = 2,563.68

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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.