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Finding the Fourth Proportional to 5,055.97, 6,975.78 and 3,264.25

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Solution

The fourth proportional to 5,055.97, 6,975.78 and 3,264.25 is: 4,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.97 : 6,975.78 = 3,264.25 : x
  2. Step 2: Convert to fraction form
    5,055.97/6,975.78 = 3,264.25/x
  3. Step 3: Cross multiply
    5,055.97x = 6,975.78 × 3,264.25
  4. Step 4: Simplify right side
    5,055.97x = 22,770,689.87
  5. Step 5: Solve for x
    x = 22,770,689.87/5,055.97
  6. Step 6: Final answer
    x = 4,503.72

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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.