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Finding the Fourth Proportional to 5,232.80, 7,853.76 and 2,769.39

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Solution

The fourth proportional to 5,232.80, 7,853.76 and 2,769.39 is: 4,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.80 : 7,853.76 = 2,769.39 : x
  2. Step 2: Convert to fraction form
    5,232.80/7,853.76 = 2,769.39/x
  3. Step 3: Cross multiply
    5,232.80x = 7,853.76 × 2,769.39
  4. Step 4: Simplify right side
    5,232.80x = 21,750,124.41
  5. Step 5: Solve for x
    x = 21,750,124.41/5,232.80
  6. Step 6: Final answer
    x = 4,156.50

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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.