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Finding the Fourth Proportional to 3,386.44, 4,673.38 and 1,894.61

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Solution

The fourth proportional to 3,386.44, 4,673.38 and 1,894.61 is: 2,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.44 : 4,673.38 = 1,894.61 : x
  2. Step 2: Convert to fraction form
    3,386.44/4,673.38 = 1,894.61/x
  3. Step 3: Cross multiply
    3,386.44x = 4,673.38 × 1,894.61
  4. Step 4: Simplify right side
    3,386.44x = 8,854,239.43
  5. Step 5: Solve for x
    x = 8,854,239.43/3,386.44
  6. Step 6: Final answer
    x = 2,614.62

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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.