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Finding the Fourth Proportional to 3,566.32, 5,349.44 and 1,101.12

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Solution

The fourth proportional to 3,566.32, 5,349.44 and 1,101.12 is: 1,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.32 : 5,349.44 = 1,101.12 : x
  2. Step 2: Convert to fraction form
    3,566.32/5,349.44 = 1,101.12/x
  3. Step 3: Cross multiply
    3,566.32x = 5,349.44 × 1,101.12
  4. Step 4: Simplify right side
    3,566.32x = 5,890,375.37
  5. Step 5: Solve for x
    x = 5,890,375.37/3,566.32
  6. Step 6: Final answer
    x = 1,651.67

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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.