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Finding the Fourth Proportional to 3,616.76, 5,428.23 and 1,427.03

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Solution

The fourth proportional to 3,616.76, 5,428.23 and 1,427.03 is: 2,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.76 : 5,428.23 = 1,427.03 : x
  2. Step 2: Convert to fraction form
    3,616.76/5,428.23 = 1,427.03/x
  3. Step 3: Cross multiply
    3,616.76x = 5,428.23 × 1,427.03
  4. Step 4: Simplify right side
    3,616.76x = 7,746,247.06
  5. Step 5: Solve for x
    x = 7,746,247.06/3,616.76
  6. Step 6: Final answer
    x = 2,141.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.