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Finding the Fourth Proportional to 3,677.32, 5,074.14 and 2,104.84

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Solution

The fourth proportional to 3,677.32, 5,074.14 and 2,104.84 is: 2,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.32 : 5,074.14 = 2,104.84 : x
  2. Step 2: Convert to fraction form
    3,677.32/5,074.14 = 2,104.84/x
  3. Step 3: Cross multiply
    3,677.32x = 5,074.14 × 2,104.84
  4. Step 4: Simplify right side
    3,677.32x = 10,680,252.84
  5. Step 5: Solve for x
    x = 10,680,252.84/3,677.32
  6. Step 6: Final answer
    x = 2,904.36

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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.