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Finding the Fourth Proportional to 3,609.50, 5,386.32 and 3,220.70

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Solution

The fourth proportional to 3,609.50, 5,386.32 and 3,220.70 is: 4,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.50 : 5,386.32 = 3,220.70 : x
  2. Step 2: Convert to fraction form
    3,609.50/5,386.32 = 3,220.70/x
  3. Step 3: Cross multiply
    3,609.50x = 5,386.32 × 3,220.70
  4. Step 4: Simplify right side
    3,609.50x = 17,347,704.72
  5. Step 5: Solve for x
    x = 17,347,704.72/3,609.50
  6. Step 6: Final answer
    x = 4,806.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.