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Finding the Fourth Proportional to 5,212.08, 7,192.44 and 2,854.08

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Solution

The fourth proportional to 5,212.08, 7,192.44 and 2,854.08 is: 3,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.08 : 7,192.44 = 2,854.08 : x
  2. Step 2: Convert to fraction form
    5,212.08/7,192.44 = 2,854.08/x
  3. Step 3: Cross multiply
    5,212.08x = 7,192.44 × 2,854.08
  4. Step 4: Simplify right side
    5,212.08x = 20,527,799.16
  5. Step 5: Solve for x
    x = 20,527,799.16/5,212.08
  6. Step 6: Final answer
    x = 3,938.50

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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.