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Finding the Fourth Proportional to 5,676.98, 8,515.47 and 1,781.69

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Solution

The fourth proportional to 5,676.98, 8,515.47 and 1,781.69 is: 2,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.98 : 8,515.47 = 1,781.69 : x
  2. Step 2: Convert to fraction form
    5,676.98/8,515.47 = 1,781.69/x
  3. Step 3: Cross multiply
    5,676.98x = 8,515.47 × 1,781.69
  4. Step 4: Simplify right side
    5,676.98x = 15,171,927.74
  5. Step 5: Solve for x
    x = 15,171,927.74/5,676.98
  6. Step 6: Final answer
    x = 2,672.54

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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.