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Finding the Fourth Proportional to 7,051.56, 9,731.48 and 3,907.75

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Solution

The fourth proportional to 7,051.56, 9,731.48 and 3,907.75 is: 5,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.56 : 9,731.48 = 3,907.75 : x
  2. Step 2: Convert to fraction form
    7,051.56/9,731.48 = 3,907.75/x
  3. Step 3: Cross multiply
    7,051.56x = 9,731.48 × 3,907.75
  4. Step 4: Simplify right side
    7,051.56x = 38,028,190.97
  5. Step 5: Solve for x
    x = 38,028,190.97/7,051.56
  6. Step 6: Final answer
    x = 5,392.88

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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.