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Finding the Fourth Proportional to 3,662.46, 5,494.59 and 1,065.42

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Solution

The fourth proportional to 3,662.46, 5,494.59 and 1,065.42 is: 1,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,494.59 = 1,065.42 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,494.59 = 1,065.42/x
  3. Step 3: Cross multiply
    3,662.46x = 5,494.59 × 1,065.42
  4. Step 4: Simplify right side
    3,662.46x = 5,854,046.08
  5. Step 5: Solve for x
    x = 5,854,046.08/3,662.46
  6. Step 6: Final answer
    x = 1,598.39

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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.