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Finding the Fourth Proportional to 4,288.78, 6,382.49 and 4,133.26

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Solution

The fourth proportional to 4,288.78, 6,382.49 and 4,133.26 is: 6,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.78 : 6,382.49 = 4,133.26 : x
  2. Step 2: Convert to fraction form
    4,288.78/6,382.49 = 4,133.26/x
  3. Step 3: Cross multiply
    4,288.78x = 6,382.49 × 4,133.26
  4. Step 4: Simplify right side
    4,288.78x = 26,380,490.62
  5. Step 5: Solve for x
    x = 26,380,490.62/4,288.78
  6. Step 6: Final answer
    x = 6,151.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.