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Finding the Fourth Proportional to 4,142.18, 6,213.18 and 2,409.50

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Solution

The fourth proportional to 4,142.18, 6,213.18 and 2,409.50 is: 3,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.18 : 6,213.18 = 2,409.50 : x
  2. Step 2: Convert to fraction form
    4,142.18/6,213.18 = 2,409.50/x
  3. Step 3: Cross multiply
    4,142.18x = 6,213.18 × 2,409.50
  4. Step 4: Simplify right side
    4,142.18x = 14,970,657.21
  5. Step 5: Solve for x
    x = 14,970,657.21/4,142.18
  6. Step 6: Final answer
    x = 3,614.20

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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.