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Finding the Fourth Proportional to 5,628.27, 8,442.40 and 1,468.27

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Solution

The fourth proportional to 5,628.27, 8,442.40 and 1,468.27 is: 2,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.27 : 8,442.40 = 1,468.27 : x
  2. Step 2: Convert to fraction form
    5,628.27/8,442.40 = 1,468.27/x
  3. Step 3: Cross multiply
    5,628.27x = 8,442.40 × 1,468.27
  4. Step 4: Simplify right side
    5,628.27x = 12,395,680.44
  5. Step 5: Solve for x
    x = 12,395,680.44/5,628.27
  6. Step 6: Final answer
    x = 2,202.40

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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.