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Finding the Fourth Proportional to 5,953.78, 8,930.66 and 1,571.27

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Solution

The fourth proportional to 5,953.78, 8,930.66 and 1,571.27 is: 2,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.78 : 8,930.66 = 1,571.27 : x
  2. Step 2: Convert to fraction form
    5,953.78/8,930.66 = 1,571.27/x
  3. Step 3: Cross multiply
    5,953.78x = 8,930.66 × 1,571.27
  4. Step 4: Simplify right side
    5,953.78x = 14,032,470.28
  5. Step 5: Solve for x
    x = 14,032,470.28/5,953.78
  6. Step 6: Final answer
    x = 2,356.90

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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.