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Finding the Fourth Proportional to 3,420.75, 4,721.09 and 2,076.89

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Solution

The fourth proportional to 3,420.75, 4,721.09 and 2,076.89 is: 2,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.75 : 4,721.09 = 2,076.89 : x
  2. Step 2: Convert to fraction form
    3,420.75/4,721.09 = 2,076.89/x
  3. Step 3: Cross multiply
    3,420.75x = 4,721.09 × 2,076.89
  4. Step 4: Simplify right side
    3,420.75x = 9,805,184.61
  5. Step 5: Solve for x
    x = 9,805,184.61/3,420.75
  6. Step 6: Final answer
    x = 2,866.38

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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.