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Finding the Fourth Proportional to 3,662.45, 5,494.58 and 1,065.38

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Solution

The fourth proportional to 3,662.45, 5,494.58 and 1,065.38 is: 1,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.45 : 5,494.58 = 1,065.38 : x
  2. Step 2: Convert to fraction form
    3,662.45/5,494.58 = 1,065.38/x
  3. Step 3: Cross multiply
    3,662.45x = 5,494.58 × 1,065.38
  4. Step 4: Simplify right side
    3,662.45x = 5,853,782.84
  5. Step 5: Solve for x
    x = 5,853,782.84/3,662.45
  6. Step 6: Final answer
    x = 1,598.33

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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.