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Finding the Fourth Proportional to 7,201.04, 10,801.56 and 3,731

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Solution

The fourth proportional to 7,201.04, 10,801.56 and 3,731 is: 5,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.04 : 10,801.56 = 3,731 : x
  2. Step 2: Convert to fraction form
    7,201.04/10,801.56 = 3,731/x
  3. Step 3: Cross multiply
    7,201.04x = 10,801.56 × 3,731
  4. Step 4: Simplify right side
    7,201.04x = 40,300,620.36
  5. Step 5: Solve for x
    x = 40,300,620.36/7,201.04
  6. Step 6: Final answer
    x = 5,596.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.