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Finding the Fourth Proportional to 5,859.83, 8,791.02 and 1,964.13

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Solution

The fourth proportional to 5,859.83, 8,791.02 and 1,964.13 is: 2,946.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.83 : 8,791.02 = 1,964.13 : x
  2. Step 2: Convert to fraction form
    5,859.83/8,791.02 = 1,964.13/x
  3. Step 3: Cross multiply
    5,859.83x = 8,791.02 × 1,964.13
  4. Step 4: Simplify right side
    5,859.83x = 17,266,706.11
  5. Step 5: Solve for x
    x = 17,266,706.11/5,859.83
  6. Step 6: Final answer
    x = 2,946.62

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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.