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Finding the Fourth Proportional to 5,606.20, 8,409.62 and 2,829.62

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Solution

The fourth proportional to 5,606.20, 8,409.62 and 2,829.62 is: 4,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.20 : 8,409.62 = 2,829.62 : x
  2. Step 2: Convert to fraction form
    5,606.20/8,409.62 = 2,829.62/x
  3. Step 3: Cross multiply
    5,606.20x = 8,409.62 × 2,829.62
  4. Step 4: Simplify right side
    5,606.20x = 23,796,057.04
  5. Step 5: Solve for x
    x = 23,796,057.04/5,606.20
  6. Step 6: Final answer
    x = 4,244.60

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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.