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Finding the Fourth Proportional to 5,187.48, 7,779.51 and 1,676.66

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Solution

The fourth proportional to 5,187.48, 7,779.51 and 1,676.66 is: 2,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.48 : 7,779.51 = 1,676.66 : x
  2. Step 2: Convert to fraction form
    5,187.48/7,779.51 = 1,676.66/x
  3. Step 3: Cross multiply
    5,187.48x = 7,779.51 × 1,676.66
  4. Step 4: Simplify right side
    5,187.48x = 13,043,593.24
  5. Step 5: Solve for x
    x = 13,043,593.24/5,187.48
  6. Step 6: Final answer
    x = 2,514.44

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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.