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Finding the Fourth Proportional to 3,973.90, 5,964.72 and 2,864.47

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Solution

The fourth proportional to 3,973.90, 5,964.72 and 2,864.47 is: 4,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.90 : 5,964.72 = 2,864.47 : x
  2. Step 2: Convert to fraction form
    3,973.90/5,964.72 = 2,864.47/x
  3. Step 3: Cross multiply
    3,973.90x = 5,964.72 × 2,864.47
  4. Step 4: Simplify right side
    3,973.90x = 17,085,761.50
  5. Step 5: Solve for x
    x = 17,085,761.50/3,973.90
  6. Step 6: Final answer
    x = 4,299.49

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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.