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Finding the Fourth Proportional to 5,112.76, 7,661.54 and 2,644.29

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Solution

The fourth proportional to 5,112.76, 7,661.54 and 2,644.29 is: 3,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.76 : 7,661.54 = 2,644.29 : x
  2. Step 2: Convert to fraction form
    5,112.76/7,661.54 = 2,644.29/x
  3. Step 3: Cross multiply
    5,112.76x = 7,661.54 × 2,644.29
  4. Step 4: Simplify right side
    5,112.76x = 20,259,333.61
  5. Step 5: Solve for x
    x = 20,259,333.61/5,112.76
  6. Step 6: Final answer
    x = 3,962.50

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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.