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Finding the Fourth Proportional to 3,775.10, 5,663.98 and 1,694.88

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Solution

The fourth proportional to 3,775.10, 5,663.98 and 1,694.88 is: 2,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.10 : 5,663.98 = 1,694.88 : x
  2. Step 2: Convert to fraction form
    3,775.10/5,663.98 = 1,694.88/x
  3. Step 3: Cross multiply
    3,775.10x = 5,663.98 × 1,694.88
  4. Step 4: Simplify right side
    3,775.10x = 9,599,766.42
  5. Step 5: Solve for x
    x = 9,599,766.42/3,775.10
  6. Step 6: Final answer
    x = 2,542.92

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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.