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Finding the Fourth Proportional to 4,642.73, 6,955.97 and 3,867.69

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Solution

The fourth proportional to 4,642.73, 6,955.97 and 3,867.69 is: 5,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.73 : 6,955.97 = 3,867.69 : x
  2. Step 2: Convert to fraction form
    4,642.73/6,955.97 = 3,867.69/x
  3. Step 3: Cross multiply
    4,642.73x = 6,955.97 × 3,867.69
  4. Step 4: Simplify right side
    4,642.73x = 26,903,535.61
  5. Step 5: Solve for x
    x = 26,903,535.61/4,642.73
  6. Step 6: Final answer
    x = 5,794.77

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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.