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Finding the Fourth Proportional to 3,662.80, 5,494.56 and 1,065.76

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Solution

The fourth proportional to 3,662.80, 5,494.56 and 1,065.76 is: 1,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.80 : 5,494.56 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    3,662.80/5,494.56 = 1,065.76/x
  3. Step 3: Cross multiply
    3,662.80x = 5,494.56 × 1,065.76
  4. Step 4: Simplify right side
    3,662.80x = 5,855,882.27
  5. Step 5: Solve for x
    x = 5,855,882.27/3,662.80
  6. Step 6: Final answer
    x = 1,598.74

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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.