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Finding the Fourth Proportional to 3,512.34, 5,267.70 and 2,423.70

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Solution

The fourth proportional to 3,512.34, 5,267.70 and 2,423.70 is: 3,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.34 : 5,267.70 = 2,423.70 : x
  2. Step 2: Convert to fraction form
    3,512.34/5,267.70 = 2,423.70/x
  3. Step 3: Cross multiply
    3,512.34x = 5,267.70 × 2,423.70
  4. Step 4: Simplify right side
    3,512.34x = 12,767,324.49
  5. Step 5: Solve for x
    x = 12,767,324.49/3,512.34
  6. Step 6: Final answer
    x = 3,634.99

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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.