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Finding the Fourth Proportional to 4,731.22, 7,092.02 and 1,959.40

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Solution

The fourth proportional to 4,731.22, 7,092.02 and 1,959.40 is: 2,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.22 : 7,092.02 = 1,959.40 : x
  2. Step 2: Convert to fraction form
    4,731.22/7,092.02 = 1,959.40/x
  3. Step 3: Cross multiply
    4,731.22x = 7,092.02 × 1,959.40
  4. Step 4: Simplify right side
    4,731.22x = 13,896,103.99
  5. Step 5: Solve for x
    x = 13,896,103.99/4,731.22
  6. Step 6: Final answer
    x = 2,937.11

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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.