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Finding the Fourth Proportional to 5,230.72, 7,847.20 and 1,770.24

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Solution

The fourth proportional to 5,230.72, 7,847.20 and 1,770.24 is: 2,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.72 : 7,847.20 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    5,230.72/7,847.20 = 1,770.24/x
  3. Step 3: Cross multiply
    5,230.72x = 7,847.20 × 1,770.24
  4. Step 4: Simplify right side
    5,230.72x = 13,891,427.33
  5. Step 5: Solve for x
    x = 13,891,427.33/5,230.72
  6. Step 6: Final answer
    x = 2,655.74

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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.