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Finding the Fourth Proportional to 3,674.09, 5,071.13 and 2,103.09

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Solution

The fourth proportional to 3,674.09, 5,071.13 and 2,103.09 is: 2,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.09 : 5,071.13 = 2,103.09 : x
  2. Step 2: Convert to fraction form
    3,674.09/5,071.13 = 2,103.09/x
  3. Step 3: Cross multiply
    3,674.09x = 5,071.13 × 2,103.09
  4. Step 4: Simplify right side
    3,674.09x = 10,665,032.28
  5. Step 5: Solve for x
    x = 10,665,032.28/3,674.09
  6. Step 6: Final answer
    x = 2,902.77

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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.