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Finding the Fourth Proportional to 3,604.56, 4,972.77 and 2,206.50

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Solution

The fourth proportional to 3,604.56, 4,972.77 and 2,206.50 is: 3,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.56 : 4,972.77 = 2,206.50 : x
  2. Step 2: Convert to fraction form
    3,604.56/4,972.77 = 2,206.50/x
  3. Step 3: Cross multiply
    3,604.56x = 4,972.77 × 2,206.50
  4. Step 4: Simplify right side
    3,604.56x = 10,972,417.01
  5. Step 5: Solve for x
    x = 10,972,417.01/3,604.56
  6. Step 6: Final answer
    x = 3,044.04

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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.