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Finding the Fourth Proportional to 5,415.75, 8,123.67 and 1,311.75

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Solution

The fourth proportional to 5,415.75, 8,123.67 and 1,311.75 is: 1,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.75 : 8,123.67 = 1,311.75 : x
  2. Step 2: Convert to fraction form
    5,415.75/8,123.67 = 1,311.75/x
  3. Step 3: Cross multiply
    5,415.75x = 8,123.67 × 1,311.75
  4. Step 4: Simplify right side
    5,415.75x = 10,656,224.12
  5. Step 5: Solve for x
    x = 10,656,224.12/5,415.75
  6. Step 6: Final answer
    x = 1,967.64

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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.