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Finding the Fourth Proportional to 7,304.70, 10,080.49 and 3,947.51

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Solution

The fourth proportional to 7,304.70, 10,080.49 and 3,947.51 is: 5,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.70 : 10,080.49 = 3,947.51 : x
  2. Step 2: Convert to fraction form
    7,304.70/10,080.49 = 3,947.51/x
  3. Step 3: Cross multiply
    7,304.70x = 10,080.49 × 3,947.51
  4. Step 4: Simplify right side
    7,304.70x = 39,792,835.08
  5. Step 5: Solve for x
    x = 39,792,835.08/7,304.70
  6. Step 6: Final answer
    x = 5,447.57

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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.