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Finding the Fourth Proportional to 3,485.20, 5,230.22 and 1,536.34

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Solution

The fourth proportional to 3,485.20, 5,230.22 and 1,536.34 is: 2,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.20 : 5,230.22 = 1,536.34 : x
  2. Step 2: Convert to fraction form
    3,485.20/5,230.22 = 1,536.34/x
  3. Step 3: Cross multiply
    3,485.20x = 5,230.22 × 1,536.34
  4. Step 4: Simplify right side
    3,485.20x = 8,035,396.19
  5. Step 5: Solve for x
    x = 8,035,396.19/3,485.20
  6. Step 6: Final answer
    x = 2,305.58

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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.