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Finding the Fourth Proportional to 5,235.09, 7,224.09 and 2,877.23

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Solution

The fourth proportional to 5,235.09, 7,224.09 and 2,877.23 is: 3,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.09 : 7,224.09 = 2,877.23 : x
  2. Step 2: Convert to fraction form
    5,235.09/7,224.09 = 2,877.23/x
  3. Step 3: Cross multiply
    5,235.09x = 7,224.09 × 2,877.23
  4. Step 4: Simplify right side
    5,235.09x = 20,785,332.35
  5. Step 5: Solve for x
    x = 20,785,332.35/5,235.09
  6. Step 6: Final answer
    x = 3,970.39

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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.