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Finding the Fourth Proportional to 3,428.19, 5,141.82 and 963.20

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Solution

The fourth proportional to 3,428.19, 5,141.82 and 963.20 is: 1,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.19 : 5,141.82 = 963.20 : x
  2. Step 2: Convert to fraction form
    3,428.19/5,141.82 = 963.20/x
  3. Step 3: Cross multiply
    3,428.19x = 5,141.82 × 963.20
  4. Step 4: Simplify right side
    3,428.19x = 4,952,600.32
  5. Step 5: Solve for x
    x = 4,952,600.32/3,428.19
  6. Step 6: Final answer
    x = 1,444.67

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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.