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Finding the Fourth Proportional to 5,733.40, 8,601 and 2,446.50

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Solution

The fourth proportional to 5,733.40, 8,601 and 2,446.50 is: 3,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.40 : 8,601 = 2,446.50 : x
  2. Step 2: Convert to fraction form
    5,733.40/8,601 = 2,446.50/x
  3. Step 3: Cross multiply
    5,733.40x = 8,601 × 2,446.50
  4. Step 4: Simplify right side
    5,733.40x = 21,042,346.50
  5. Step 5: Solve for x
    x = 21,042,346.50/5,733.40
  6. Step 6: Final answer
    x = 3,670.13

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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.