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Finding the Fourth Proportional to 5,415.26, 8,122.88 and 1,311.26

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Solution

The fourth proportional to 5,415.26, 8,122.88 and 1,311.26 is: 1,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.26 : 8,122.88 = 1,311.26 : x
  2. Step 2: Convert to fraction form
    5,415.26/8,122.88 = 1,311.26/x
  3. Step 3: Cross multiply
    5,415.26x = 8,122.88 × 1,311.26
  4. Step 4: Simplify right side
    5,415.26x = 10,651,207.63
  5. Step 5: Solve for x
    x = 10,651,207.63/5,415.26
  6. Step 6: Final answer
    x = 1,966.89

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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.