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Finding the Fourth Proportional to 5,770.26, 8,646.57 and 3,425.64

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Solution

The fourth proportional to 5,770.26, 8,646.57 and 3,425.64 is: 5,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.26 : 8,646.57 = 3,425.64 : x
  2. Step 2: Convert to fraction form
    5,770.26/8,646.57 = 3,425.64/x
  3. Step 3: Cross multiply
    5,770.26x = 8,646.57 × 3,425.64
  4. Step 4: Simplify right side
    5,770.26x = 29,620,036.05
  5. Step 5: Solve for x
    x = 29,620,036.05/5,770.26
  6. Step 6: Final answer
    x = 5,133.22

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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.