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Finding the Fourth Proportional to 3,696.74, 5,098.28 and 3,199.22

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Solution

The fourth proportional to 3,696.74, 5,098.28 and 3,199.22 is: 4,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.74 : 5,098.28 = 3,199.22 : x
  2. Step 2: Convert to fraction form
    3,696.74/5,098.28 = 3,199.22/x
  3. Step 3: Cross multiply
    3,696.74x = 5,098.28 × 3,199.22
  4. Step 4: Simplify right side
    3,696.74x = 16,310,519.34
  5. Step 5: Solve for x
    x = 16,310,519.34/3,696.74
  6. Step 6: Final answer
    x = 4,412.14

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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.