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Finding the Fourth Proportional to 3,660.30, 5,478.30 and 3,222.90

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Solution

The fourth proportional to 3,660.30, 5,478.30 and 3,222.90 is: 4,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.30 : 5,478.30 = 3,222.90 : x
  2. Step 2: Convert to fraction form
    3,660.30/5,478.30 = 3,222.90/x
  3. Step 3: Cross multiply
    3,660.30x = 5,478.30 × 3,222.90
  4. Step 4: Simplify right side
    3,660.30x = 17,656,013.07
  5. Step 5: Solve for x
    x = 17,656,013.07/3,660.30
  6. Step 6: Final answer
    x = 4,823.65

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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.