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Finding the Fourth Proportional to 5,493, 8,236.03 and 4,660.35

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Solution

The fourth proportional to 5,493, 8,236.03 and 4,660.35 is: 6,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493 : 8,236.03 = 4,660.35 : x
  2. Step 2: Convert to fraction form
    5,493/8,236.03 = 4,660.35/x
  3. Step 3: Cross multiply
    5,493x = 8,236.03 × 4,660.35
  4. Step 4: Simplify right side
    5,493x = 38,382,782.41
  5. Step 5: Solve for x
    x = 38,382,782.41/5,493
  6. Step 6: Final answer
    x = 6,987.58

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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.