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Finding the Fourth Proportional to 3,604.06, 4,973.70 and 2,206

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Solution

The fourth proportional to 3,604.06, 4,973.70 and 2,206 is: 3,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.06 : 4,973.70 = 2,206 : x
  2. Step 2: Convert to fraction form
    3,604.06/4,973.70 = 2,206/x
  3. Step 3: Cross multiply
    3,604.06x = 4,973.70 × 2,206
  4. Step 4: Simplify right side
    3,604.06x = 10,971,982.20
  5. Step 5: Solve for x
    x = 10,971,982.20/3,604.06
  6. Step 6: Final answer
    x = 3,044.34

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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.