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Finding the Fourth Proportional to 3,480.70, 4,801.76 and 3,082.76

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Solution

The fourth proportional to 3,480.70, 4,801.76 and 3,082.76 is: 4,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.70 : 4,801.76 = 3,082.76 : x
  2. Step 2: Convert to fraction form
    3,480.70/4,801.76 = 3,082.76/x
  3. Step 3: Cross multiply
    3,480.70x = 4,801.76 × 3,082.76
  4. Step 4: Simplify right side
    3,480.70x = 14,802,673.66
  5. Step 5: Solve for x
    x = 14,802,673.66/3,480.70
  6. Step 6: Final answer
    x = 4,252.79

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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.