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Finding the Fourth Proportional to 3,636.40, 5,446.48 and 2,713

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Solution

The fourth proportional to 3,636.40, 5,446.48 and 2,713 is: 4,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.40 : 5,446.48 = 2,713 : x
  2. Step 2: Convert to fraction form
    3,636.40/5,446.48 = 2,713/x
  3. Step 3: Cross multiply
    3,636.40x = 5,446.48 × 2,713
  4. Step 4: Simplify right side
    3,636.40x = 14,776,300.24
  5. Step 5: Solve for x
    x = 14,776,300.24/3,636.40
  6. Step 6: Final answer
    x = 4,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.