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Finding the Fourth Proportional to 3,662.34, 5,493.42 and 1,065.30

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Solution

The fourth proportional to 3,662.34, 5,493.42 and 1,065.30 is: 1,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.34 : 5,493.42 = 1,065.30 : x
  2. Step 2: Convert to fraction form
    3,662.34/5,493.42 = 1,065.30/x
  3. Step 3: Cross multiply
    3,662.34x = 5,493.42 × 1,065.30
  4. Step 4: Simplify right side
    3,662.34x = 5,852,140.33
  5. Step 5: Solve for x
    x = 5,852,140.33/3,662.34
  6. Step 6: Final answer
    x = 1,597.92

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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.