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Finding the Fourth Proportional to 4,146.64, 6,209.86 and 3,105.52

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Solution

The fourth proportional to 4,146.64, 6,209.86 and 3,105.52 is: 4,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.64 : 6,209.86 = 3,105.52 : x
  2. Step 2: Convert to fraction form
    4,146.64/6,209.86 = 3,105.52/x
  3. Step 3: Cross multiply
    4,146.64x = 6,209.86 × 3,105.52
  4. Step 4: Simplify right side
    4,146.64x = 19,284,844.43
  5. Step 5: Solve for x
    x = 19,284,844.43/4,146.64
  6. Step 6: Final answer
    x = 4,650.72

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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.