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Finding the Fourth Proportional to 3,926.17, 5,891.01 and 1,953.78

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Solution

The fourth proportional to 3,926.17, 5,891.01 and 1,953.78 is: 2,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.17 : 5,891.01 = 1,953.78 : x
  2. Step 2: Convert to fraction form
    3,926.17/5,891.01 = 1,953.78/x
  3. Step 3: Cross multiply
    3,926.17x = 5,891.01 × 1,953.78
  4. Step 4: Simplify right side
    3,926.17x = 11,509,737.52
  5. Step 5: Solve for x
    x = 11,509,737.52/3,926.17
  6. Step 6: Final answer
    x = 2,931.54

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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.