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Finding the Fourth Proportional to 6,242.30, 8,614.38 and 3,409.70

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Solution

The fourth proportional to 6,242.30, 8,614.38 and 3,409.70 is: 4,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.30 : 8,614.38 = 3,409.70 : x
  2. Step 2: Convert to fraction form
    6,242.30/8,614.38 = 3,409.70/x
  3. Step 3: Cross multiply
    6,242.30x = 8,614.38 × 3,409.70
  4. Step 4: Simplify right side
    6,242.30x = 29,372,451.49
  5. Step 5: Solve for x
    x = 29,372,451.49/6,242.30
  6. Step 6: Final answer
    x = 4,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.