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Finding the Fourth Proportional to 3,469.56, 5,203.40 and 1,618.87

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Solution

The fourth proportional to 3,469.56, 5,203.40 and 1,618.87 is: 2,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.56 : 5,203.40 = 1,618.87 : x
  2. Step 2: Convert to fraction form
    3,469.56/5,203.40 = 1,618.87/x
  3. Step 3: Cross multiply
    3,469.56x = 5,203.40 × 1,618.87
  4. Step 4: Simplify right side
    3,469.56x = 8,423,619.20
  5. Step 5: Solve for x
    x = 8,423,619.20/3,469.56
  6. Step 6: Final answer
    x = 2,427.86

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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.