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Finding the Fourth Proportional to 3,389.06, 5,074.50 and 3,283.40

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Solution

The fourth proportional to 3,389.06, 5,074.50 and 3,283.40 is: 4,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.06 : 5,074.50 = 3,283.40 : x
  2. Step 2: Convert to fraction form
    3,389.06/5,074.50 = 3,283.40/x
  3. Step 3: Cross multiply
    3,389.06x = 5,074.50 × 3,283.40
  4. Step 4: Simplify right side
    3,389.06x = 16,661,613.30
  5. Step 5: Solve for x
    x = 16,661,613.30/3,389.06
  6. Step 6: Final answer
    x = 4,916.29

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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.