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Finding the Fourth Proportional to 4,651.73, 6,419.02 and 2,661.83

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Solution

The fourth proportional to 4,651.73, 6,419.02 and 2,661.83 is: 3,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.73 : 6,419.02 = 2,661.83 : x
  2. Step 2: Convert to fraction form
    4,651.73/6,419.02 = 2,661.83/x
  3. Step 3: Cross multiply
    4,651.73x = 6,419.02 × 2,661.83
  4. Step 4: Simplify right side
    4,651.73x = 17,086,326.70
  5. Step 5: Solve for x
    x = 17,086,326.70/4,651.73
  6. Step 6: Final answer
    x = 3,673.11

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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.