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Finding the Fourth Proportional to 4,732.93, 7,102.23 and 1,959.64

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Solution

The fourth proportional to 4,732.93, 7,102.23 and 1,959.64 is: 2,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.93 : 7,102.23 = 1,959.64 : x
  2. Step 2: Convert to fraction form
    4,732.93/7,102.23 = 1,959.64/x
  3. Step 3: Cross multiply
    4,732.93x = 7,102.23 × 1,959.64
  4. Step 4: Simplify right side
    4,732.93x = 13,917,814.00
  5. Step 5: Solve for x
    x = 13,917,814.00/4,732.93
  6. Step 6: Final answer
    x = 2,940.63

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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.