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Finding the Fourth Proportional to 5,947.97, 8,208.20 and 3,295.55

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Solution

The fourth proportional to 5,947.97, 8,208.20 and 3,295.55 is: 4,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.97 : 8,208.20 = 3,295.55 : x
  2. Step 2: Convert to fraction form
    5,947.97/8,208.20 = 3,295.55/x
  3. Step 3: Cross multiply
    5,947.97x = 8,208.20 × 3,295.55
  4. Step 4: Simplify right side
    5,947.97x = 27,050,537.55
  5. Step 5: Solve for x
    x = 27,050,537.55/5,947.97
  6. Step 6: Final answer
    x = 4,547.86

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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.