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Finding the Fourth Proportional to 5,913.46, 8,160.46 and 3,224.70

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Solution

The fourth proportional to 5,913.46, 8,160.46 and 3,224.70 is: 4,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.46 : 8,160.46 = 3,224.70 : x
  2. Step 2: Convert to fraction form
    5,913.46/8,160.46 = 3,224.70/x
  3. Step 3: Cross multiply
    5,913.46x = 8,160.46 × 3,224.70
  4. Step 4: Simplify right side
    5,913.46x = 26,315,035.36
  5. Step 5: Solve for x
    x = 26,315,035.36/5,913.46
  6. Step 6: Final answer
    x = 4,450.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.