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Finding the Fourth Proportional to 3,699.87, 5,546.25 and 1,232.97

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Solution

The fourth proportional to 3,699.87, 5,546.25 and 1,232.97 is: 1,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.87 : 5,546.25 = 1,232.97 : x
  2. Step 2: Convert to fraction form
    3,699.87/5,546.25 = 1,232.97/x
  3. Step 3: Cross multiply
    3,699.87x = 5,546.25 × 1,232.97
  4. Step 4: Simplify right side
    3,699.87x = 6,838,359.86
  5. Step 5: Solve for x
    x = 6,838,359.86/3,699.87
  6. Step 6: Final answer
    x = 1,848.27

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1.5x scale

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.