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Finding the Fourth Proportional to 5,513.86, 8,270.90 and 1,618.26

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Solution

The fourth proportional to 5,513.86, 8,270.90 and 1,618.26 is: 2,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.86 : 8,270.90 = 1,618.26 : x
  2. Step 2: Convert to fraction form
    5,513.86/8,270.90 = 1,618.26/x
  3. Step 3: Cross multiply
    5,513.86x = 8,270.90 × 1,618.26
  4. Step 4: Simplify right side
    5,513.86x = 13,384,466.63
  5. Step 5: Solve for x
    x = 13,384,466.63/5,513.86
  6. Step 6: Final answer
    x = 2,427.42

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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.