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Finding the Fourth Proportional to 5,243.54, 7,865.05 and 1,956.38

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Solution

The fourth proportional to 5,243.54, 7,865.05 and 1,956.38 is: 2,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.54 : 7,865.05 = 1,956.38 : x
  2. Step 2: Convert to fraction form
    5,243.54/7,865.05 = 1,956.38/x
  3. Step 3: Cross multiply
    5,243.54x = 7,865.05 × 1,956.38
  4. Step 4: Simplify right side
    5,243.54x = 15,387,026.52
  5. Step 5: Solve for x
    x = 15,387,026.52/5,243.54
  6. Step 6: Final answer
    x = 2,934.47

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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.