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Finding the Fourth Proportional to 5,468.56, 8,201.93 and 1,770.26

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Solution

The fourth proportional to 5,468.56, 8,201.93 and 1,770.26 is: 2,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.56 : 8,201.93 = 1,770.26 : x
  2. Step 2: Convert to fraction form
    5,468.56/8,201.93 = 1,770.26/x
  3. Step 3: Cross multiply
    5,468.56x = 8,201.93 × 1,770.26
  4. Step 4: Simplify right side
    5,468.56x = 14,519,498.74
  5. Step 5: Solve for x
    x = 14,519,498.74/5,468.56
  6. Step 6: Final answer
    x = 2,655.09

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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.