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Finding the Fourth Proportional to 4,691.06, 7,036.62 and 1,767.80

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Solution

The fourth proportional to 4,691.06, 7,036.62 and 1,767.80 is: 2,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.06 : 7,036.62 = 1,767.80 : x
  2. Step 2: Convert to fraction form
    4,691.06/7,036.62 = 1,767.80/x
  3. Step 3: Cross multiply
    4,691.06x = 7,036.62 × 1,767.80
  4. Step 4: Simplify right side
    4,691.06x = 12,439,336.84
  5. Step 5: Solve for x
    x = 12,439,336.84/4,691.06
  6. Step 6: Final answer
    x = 2,651.71

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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.