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Finding the Fourth Proportional to 5,278.14, 7,918.80 and 1,580.49

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Solution

The fourth proportional to 5,278.14, 7,918.80 and 1,580.49 is: 2,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.14 : 7,918.80 = 1,580.49 : x
  2. Step 2: Convert to fraction form
    5,278.14/7,918.80 = 1,580.49/x
  3. Step 3: Cross multiply
    5,278.14x = 7,918.80 × 1,580.49
  4. Step 4: Simplify right side
    5,278.14x = 12,515,584.21
  5. Step 5: Solve for x
    x = 12,515,584.21/5,278.14
  6. Step 6: Final answer
    x = 2,371.21

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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.