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Finding the Fourth Proportional to 5,468.28, 8,202.54 and 1,770.90

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Solution

The fourth proportional to 5,468.28, 8,202.54 and 1,770.90 is: 2,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.28 : 8,202.54 = 1,770.90 : x
  2. Step 2: Convert to fraction form
    5,468.28/8,202.54 = 1,770.90/x
  3. Step 3: Cross multiply
    5,468.28x = 8,202.54 × 1,770.90
  4. Step 4: Simplify right side
    5,468.28x = 14,525,878.09
  5. Step 5: Solve for x
    x = 14,525,878.09/5,468.28
  6. Step 6: Final answer
    x = 2,656.39

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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.