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Finding the Fourth Proportional to 5,380.48, 8,072.34 and 1,918

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Solution

The fourth proportional to 5,380.48, 8,072.34 and 1,918 is: 2,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.48 : 8,072.34 = 1,918 : x
  2. Step 2: Convert to fraction form
    5,380.48/8,072.34 = 1,918/x
  3. Step 3: Cross multiply
    5,380.48x = 8,072.34 × 1,918
  4. Step 4: Simplify right side
    5,380.48x = 15,482,748.12
  5. Step 5: Solve for x
    x = 15,482,748.12/5,380.48
  6. Step 6: Final answer
    x = 2,877.58

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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.