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Finding the Fourth Proportional to 5,948.29, 8,209.14 and 3,295.95

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Solution

The fourth proportional to 5,948.29, 8,209.14 and 3,295.95 is: 4,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.29 : 8,209.14 = 3,295.95 : x
  2. Step 2: Convert to fraction form
    5,948.29/8,209.14 = 3,295.95/x
  3. Step 3: Cross multiply
    5,948.29x = 8,209.14 × 3,295.95
  4. Step 4: Simplify right side
    5,948.29x = 27,056,914.98
  5. Step 5: Solve for x
    x = 27,056,914.98/5,948.29
  6. Step 6: Final answer
    x = 4,548.69

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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.