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Finding the Fourth Proportional to 5,447.36, 8,171 and 1,551.76

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Solution

The fourth proportional to 5,447.36, 8,171 and 1,551.76 is: 2,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.36 : 8,171 = 1,551.76 : x
  2. Step 2: Convert to fraction form
    5,447.36/8,171 = 1,551.76/x
  3. Step 3: Cross multiply
    5,447.36x = 8,171 × 1,551.76
  4. Step 4: Simplify right side
    5,447.36x = 12,679,430.96
  5. Step 5: Solve for x
    x = 12,679,430.96/5,447.36
  6. Step 6: Final answer
    x = 2,327.63

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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.