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Finding the Fourth Proportional to 3,662.69, 5,494.34 and 1,065.63

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Solution

The fourth proportional to 3,662.69, 5,494.34 and 1,065.63 is: 1,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.69 : 5,494.34 = 1,065.63 : x
  2. Step 2: Convert to fraction form
    3,662.69/5,494.34 = 1,065.63/x
  3. Step 3: Cross multiply
    3,662.69x = 5,494.34 × 1,065.63
  4. Step 4: Simplify right side
    3,662.69x = 5,854,933.53
  5. Step 5: Solve for x
    x = 5,854,933.53/3,662.69
  6. Step 6: Final answer
    x = 1,598.53

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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.