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Finding the Fourth Proportional to 5,548, 8,322 and 3,237.88

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Solution

The fourth proportional to 5,548, 8,322 and 3,237.88 is: 4,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548 : 8,322 = 3,237.88 : x
  2. Step 2: Convert to fraction form
    5,548/8,322 = 3,237.88/x
  3. Step 3: Cross multiply
    5,548x = 8,322 × 3,237.88
  4. Step 4: Simplify right side
    5,548x = 26,945,637.36
  5. Step 5: Solve for x
    x = 26,945,637.36/5,548
  6. Step 6: Final answer
    x = 4,856.82

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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.