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Finding the Fourth Proportional to 5,496.44, 8,246.02 and 1,600.88

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Solution

The fourth proportional to 5,496.44, 8,246.02 and 1,600.88 is: 2,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.44 : 8,246.02 = 1,600.88 : x
  2. Step 2: Convert to fraction form
    5,496.44/8,246.02 = 1,600.88/x
  3. Step 3: Cross multiply
    5,496.44x = 8,246.02 × 1,600.88
  4. Step 4: Simplify right side
    5,496.44x = 13,200,888.50
  5. Step 5: Solve for x
    x = 13,200,888.50/5,496.44
  6. Step 6: Final answer
    x = 2,401.72

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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.