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Finding the Fourth Proportional to 5,676.90, 8,515.26 and 1,781.34

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Solution

The fourth proportional to 5,676.90, 8,515.26 and 1,781.34 is: 2,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.90 : 8,515.26 = 1,781.34 : x
  2. Step 2: Convert to fraction form
    5,676.90/8,515.26 = 1,781.34/x
  3. Step 3: Cross multiply
    5,676.90x = 8,515.26 × 1,781.34
  4. Step 4: Simplify right side
    5,676.90x = 15,168,573.25
  5. Step 5: Solve for x
    x = 15,168,573.25/5,676.90
  6. Step 6: Final answer
    x = 2,671.98

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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.