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Finding the Fourth Proportional to 4,125.60, 5,691.33 and 3,006

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Solution

The fourth proportional to 4,125.60, 5,691.33 and 3,006 is: 4,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.60 : 5,691.33 = 3,006 : x
  2. Step 2: Convert to fraction form
    4,125.60/5,691.33 = 3,006/x
  3. Step 3: Cross multiply
    4,125.60x = 5,691.33 × 3,006
  4. Step 4: Simplify right side
    4,125.60x = 17,108,137.98
  5. Step 5: Solve for x
    x = 17,108,137.98/4,125.60
  6. Step 6: Final answer
    x = 4,146.82

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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.