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Finding the Fourth Proportional to 3,676.90, 5,514.75 and 1,044.58

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Solution

The fourth proportional to 3,676.90, 5,514.75 and 1,044.58 is: 1,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.90 : 5,514.75 = 1,044.58 : x
  2. Step 2: Convert to fraction form
    3,676.90/5,514.75 = 1,044.58/x
  3. Step 3: Cross multiply
    3,676.90x = 5,514.75 × 1,044.58
  4. Step 4: Simplify right side
    3,676.90x = 5,760,597.56
  5. Step 5: Solve for x
    x = 5,760,597.56/3,676.90
  6. Step 6: Final answer
    x = 1,566.70

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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.