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Finding the Fourth Proportional to 5,660.48, 7,812.18 and 3,423.62

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Solution

The fourth proportional to 5,660.48, 7,812.18 and 3,423.62 is: 4,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.48 : 7,812.18 = 3,423.62 : x
  2. Step 2: Convert to fraction form
    5,660.48/7,812.18 = 3,423.62/x
  3. Step 3: Cross multiply
    5,660.48x = 7,812.18 × 3,423.62
  4. Step 4: Simplify right side
    5,660.48x = 26,745,935.69
  5. Step 5: Solve for x
    x = 26,745,935.69/5,660.48
  6. Step 6: Final answer
    x = 4,725.03

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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.