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Finding the Fourth Proportional to 3,423.57, 4,722.54 and 2,306.06

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Solution

The fourth proportional to 3,423.57, 4,722.54 and 2,306.06 is: 3,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.57 : 4,722.54 = 2,306.06 : x
  2. Step 2: Convert to fraction form
    3,423.57/4,722.54 = 2,306.06/x
  3. Step 3: Cross multiply
    3,423.57x = 4,722.54 × 2,306.06
  4. Step 4: Simplify right side
    3,423.57x = 10,890,436.98
  5. Step 5: Solve for x
    x = 10,890,436.98/3,423.57
  6. Step 6: Final answer
    x = 3,181.02

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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.