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Finding the Fourth Proportional to 5,235.39, 7,224.84 and 2,877.68

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Solution

The fourth proportional to 5,235.39, 7,224.84 and 2,877.68 is: 3,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.39 : 7,224.84 = 2,877.68 : x
  2. Step 2: Convert to fraction form
    5,235.39/7,224.84 = 2,877.68/x
  3. Step 3: Cross multiply
    5,235.39x = 7,224.84 × 2,877.68
  4. Step 4: Simplify right side
    5,235.39x = 20,790,777.57
  5. Step 5: Solve for x
    x = 20,790,777.57/5,235.39
  6. Step 6: Final answer
    x = 3,971.20

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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.