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Finding the Fourth Proportional to 5,778.56, 8,667.63 and 1,618.53

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Solution

The fourth proportional to 5,778.56, 8,667.63 and 1,618.53 is: 2,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.56 : 8,667.63 = 1,618.53 : x
  2. Step 2: Convert to fraction form
    5,778.56/8,667.63 = 1,618.53/x
  3. Step 3: Cross multiply
    5,778.56x = 8,667.63 × 1,618.53
  4. Step 4: Simplify right side
    5,778.56x = 14,028,819.18
  5. Step 5: Solve for x
    x = 14,028,819.18/5,778.56
  6. Step 6: Final answer
    x = 2,427.74

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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.