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Finding the Fourth Proportional to 3,696.96, 5,102.44 and 3,530.88

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Solution

The fourth proportional to 3,696.96, 5,102.44 and 3,530.88 is: 4,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.96 : 5,102.44 = 3,530.88 : x
  2. Step 2: Convert to fraction form
    3,696.96/5,102.44 = 3,530.88/x
  3. Step 3: Cross multiply
    3,696.96x = 5,102.44 × 3,530.88
  4. Step 4: Simplify right side
    3,696.96x = 18,016,103.35
  5. Step 5: Solve for x
    x = 18,016,103.35/3,696.96
  6. Step 6: Final answer
    x = 4,873.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.