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Finding the Fourth Proportional to 3,735.32, 5,604.19 and 3,116.48

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Solution

The fourth proportional to 3,735.32, 5,604.19 and 3,116.48 is: 4,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.32 : 5,604.19 = 3,116.48 : x
  2. Step 2: Convert to fraction form
    3,735.32/5,604.19 = 3,116.48/x
  3. Step 3: Cross multiply
    3,735.32x = 5,604.19 × 3,116.48
  4. Step 4: Simplify right side
    3,735.32x = 17,465,310.24
  5. Step 5: Solve for x
    x = 17,465,310.24/3,735.32
  6. Step 6: Final answer
    x = 4,675.73

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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.