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Finding the Fourth Proportional to 3,503.82, 5,255.18 and 2,099.02

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Solution

The fourth proportional to 3,503.82, 5,255.18 and 2,099.02 is: 3,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.82 : 5,255.18 = 2,099.02 : x
  2. Step 2: Convert to fraction form
    3,503.82/5,255.18 = 2,099.02/x
  3. Step 3: Cross multiply
    3,503.82x = 5,255.18 × 2,099.02
  4. Step 4: Simplify right side
    3,503.82x = 11,030,727.92
  5. Step 5: Solve for x
    x = 11,030,727.92/3,503.82
  6. Step 6: Final answer
    x = 3,148.20

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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.