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Finding the Fourth Proportional to 5,186.57, 7,778.70 and 1,676.88

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Solution

The fourth proportional to 5,186.57, 7,778.70 and 1,676.88 is: 2,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.57 : 7,778.70 = 1,676.88 : x
  2. Step 2: Convert to fraction form
    5,186.57/7,778.70 = 1,676.88/x
  3. Step 3: Cross multiply
    5,186.57x = 7,778.70 × 1,676.88
  4. Step 4: Simplify right side
    5,186.57x = 13,043,946.46
  5. Step 5: Solve for x
    x = 13,043,946.46/5,186.57
  6. Step 6: Final answer
    x = 2,514.95

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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.