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Finding the Fourth Proportional to 7,052.56, 9,732.09 and 3,908.50

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Solution

The fourth proportional to 7,052.56, 9,732.09 and 3,908.50 is: 5,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.56 : 9,732.09 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    7,052.56/9,732.09 = 3,908.50/x
  3. Step 3: Cross multiply
    7,052.56x = 9,732.09 × 3,908.50
  4. Step 4: Simplify right side
    7,052.56x = 38,037,873.77
  5. Step 5: Solve for x
    x = 38,037,873.77/7,052.56
  6. Step 6: Final answer
    x = 5,393.48

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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.