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Finding the Fourth Proportional to 4,131.59, 5,702.27 and 3,076.38

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Solution

The fourth proportional to 4,131.59, 5,702.27 and 3,076.38 is: 4,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.59 : 5,702.27 = 3,076.38 : x
  2. Step 2: Convert to fraction form
    4,131.59/5,702.27 = 3,076.38/x
  3. Step 3: Cross multiply
    4,131.59x = 5,702.27 × 3,076.38
  4. Step 4: Simplify right side
    4,131.59x = 17,542,334.00
  5. Step 5: Solve for x
    x = 17,542,334.00/4,131.59
  6. Step 6: Final answer
    x = 4,245.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.