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Finding the Fourth Proportional to 5,304.31, 7,322.69 and 3,739.39

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Solution

The fourth proportional to 5,304.31, 7,322.69 and 3,739.39 is: 5,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.31 : 7,322.69 = 3,739.39 : x
  2. Step 2: Convert to fraction form
    5,304.31/7,322.69 = 3,739.39/x
  3. Step 3: Cross multiply
    5,304.31x = 7,322.69 × 3,739.39
  4. Step 4: Simplify right side
    5,304.31x = 27,382,393.76
  5. Step 5: Solve for x
    x = 27,382,393.76/5,304.31
  6. Step 6: Final answer
    x = 5,162.29

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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.