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Finding the Fourth Proportional to 5,903.69, 8,146.82 and 3,384

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Solution

The fourth proportional to 5,903.69, 8,146.82 and 3,384 is: 4,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.69 : 8,146.82 = 3,384 : x
  2. Step 2: Convert to fraction form
    5,903.69/8,146.82 = 3,384/x
  3. Step 3: Cross multiply
    5,903.69x = 8,146.82 × 3,384
  4. Step 4: Simplify right side
    5,903.69x = 27,568,847.34
  5. Step 5: Solve for x
    x = 27,568,847.34/5,903.69
  6. Step 6: Final answer
    x = 4,669.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.