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Finding the Fourth Proportional to 5,308.18, 7,323.24 and 3,419.62

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Solution

The fourth proportional to 5,308.18, 7,323.24 and 3,419.62 is: 4,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.18 : 7,323.24 = 3,419.62 : x
  2. Step 2: Convert to fraction form
    5,308.18/7,323.24 = 3,419.62/x
  3. Step 3: Cross multiply
    5,308.18x = 7,323.24 × 3,419.62
  4. Step 4: Simplify right side
    5,308.18x = 25,042,692.48
  5. Step 5: Solve for x
    x = 25,042,692.48/5,308.18
  6. Step 6: Final answer
    x = 4,717.76

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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.