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Finding the Fourth Proportional to 3,605, 4,974.90 and 2,207.76

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Solution

The fourth proportional to 3,605, 4,974.90 and 2,207.76 is: 3,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605 : 4,974.90 = 2,207.76 : x
  2. Step 2: Convert to fraction form
    3,605/4,974.90 = 2,207.76/x
  3. Step 3: Cross multiply
    3,605x = 4,974.90 × 2,207.76
  4. Step 4: Simplify right side
    3,605x = 10,983,385.22
  5. Step 5: Solve for x
    x = 10,983,385.22/3,605
  6. Step 6: Final answer
    x = 3,046.71

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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.