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Finding the Fourth Proportional to 3,970.84, 5,943.92 and 2,932

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Solution

The fourth proportional to 3,970.84, 5,943.92 and 2,932 is: 4,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.84 : 5,943.92 = 2,932 : x
  2. Step 2: Convert to fraction form
    3,970.84/5,943.92 = 2,932/x
  3. Step 3: Cross multiply
    3,970.84x = 5,943.92 × 2,932
  4. Step 4: Simplify right side
    3,970.84x = 17,427,573.44
  5. Step 5: Solve for x
    x = 17,427,573.44/3,970.84
  6. Step 6: Final answer
    x = 4,388.89

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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.