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Finding the Fourth Proportional to 3,202.29, 4,416.93 and 2,827.80

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Solution

The fourth proportional to 3,202.29, 4,416.93 and 2,827.80 is: 3,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.29 : 4,416.93 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    3,202.29/4,416.93 = 2,827.80/x
  3. Step 3: Cross multiply
    3,202.29x = 4,416.93 × 2,827.80
  4. Step 4: Simplify right side
    3,202.29x = 12,490,194.65
  5. Step 5: Solve for x
    x = 12,490,194.65/3,202.29
  6. Step 6: Final answer
    x = 3,900.39

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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.