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Finding the Fourth Proportional to 5,735.72, 8,604.12 and 1,840.16

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Solution

The fourth proportional to 5,735.72, 8,604.12 and 1,840.16 is: 2,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.72 : 8,604.12 = 1,840.16 : x
  2. Step 2: Convert to fraction form
    5,735.72/8,604.12 = 1,840.16/x
  3. Step 3: Cross multiply
    5,735.72x = 8,604.12 × 1,840.16
  4. Step 4: Simplify right side
    5,735.72x = 15,832,957.46
  5. Step 5: Solve for x
    x = 15,832,957.46/5,735.72
  6. Step 6: Final answer
    x = 2,760.41

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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.