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Finding the Fourth Proportional to 5,267.50, 7,267.86 and 3,141.65

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Solution

The fourth proportional to 5,267.50, 7,267.86 and 3,141.65 is: 4,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.50 : 7,267.86 = 3,141.65 : x
  2. Step 2: Convert to fraction form
    5,267.50/7,267.86 = 3,141.65/x
  3. Step 3: Cross multiply
    5,267.50x = 7,267.86 × 3,141.65
  4. Step 4: Simplify right side
    5,267.50x = 22,833,090.54
  5. Step 5: Solve for x
    x = 22,833,090.54/5,267.50
  6. Step 6: Final answer
    x = 4,334.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.