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Finding the Fourth Proportional to 5,606.42, 8,416.00 and 2,836.22

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Solution

The fourth proportional to 5,606.42, 8,416.00 and 2,836.22 is: 4,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.42 : 8,416.00 = 2,836.22 : x
  2. Step 2: Convert to fraction form
    5,606.42/8,416.00 = 2,836.22/x
  3. Step 3: Cross multiply
    5,606.42x = 8,416.00 × 2,836.22
  4. Step 4: Simplify right side
    5,606.42x = 23,869,578.35
  5. Step 5: Solve for x
    x = 23,869,578.35/5,606.42
  6. Step 6: Final answer
    x = 4,257.55

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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.