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Finding the Fourth Proportional to 3,604.14, 4,973.05 and 2,112.08

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Solution

The fourth proportional to 3,604.14, 4,973.05 and 2,112.08 is: 2,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.14 : 4,973.05 = 2,112.08 : x
  2. Step 2: Convert to fraction form
    3,604.14/4,973.05 = 2,112.08/x
  3. Step 3: Cross multiply
    3,604.14x = 4,973.05 × 2,112.08
  4. Step 4: Simplify right side
    3,604.14x = 10,503,479.44
  5. Step 5: Solve for x
    x = 10,503,479.44/3,604.14
  6. Step 6: Final answer
    x = 2,914.28

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