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Finding the Fourth Proportional to 5,155.46, 7,734.54 and 2,233.08

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Solution

The fourth proportional to 5,155.46, 7,734.54 and 2,233.08 is: 3,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.46 : 7,734.54 = 2,233.08 : x
  2. Step 2: Convert to fraction form
    5,155.46/7,734.54 = 2,233.08/x
  3. Step 3: Cross multiply
    5,155.46x = 7,734.54 × 2,233.08
  4. Step 4: Simplify right side
    5,155.46x = 17,271,846.58
  5. Step 5: Solve for x
    x = 17,271,846.58/5,155.46
  6. Step 6: Final answer
    x = 3,350.20

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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.