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Finding the Fourth Proportional to 5,365.40, 8,046.68 and 1,468.89

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Solution

The fourth proportional to 5,365.40, 8,046.68 and 1,468.89 is: 2,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.40 : 8,046.68 = 1,468.89 : x
  2. Step 2: Convert to fraction form
    5,365.40/8,046.68 = 1,468.89/x
  3. Step 3: Cross multiply
    5,365.40x = 8,046.68 × 1,468.89
  4. Step 4: Simplify right side
    5,365.40x = 11,819,680.44
  5. Step 5: Solve for x
    x = 11,819,680.44/5,365.40
  6. Step 6: Final answer
    x = 2,202.95

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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.