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Finding the Fourth Proportional to 3,123.36, 4,299.28 and 2,828.12

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Solution

The fourth proportional to 3,123.36, 4,299.28 and 2,828.12 is: 3,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.36 : 4,299.28 = 2,828.12 : x
  2. Step 2: Convert to fraction form
    3,123.36/4,299.28 = 2,828.12/x
  3. Step 3: Cross multiply
    3,123.36x = 4,299.28 × 2,828.12
  4. Step 4: Simplify right side
    3,123.36x = 12,158,851.19
  5. Step 5: Solve for x
    x = 12,158,851.19/3,123.36
  6. Step 6: Final answer
    x = 3,892.88

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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.