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Finding the Fourth Proportional to 5,643.20, 8,455.56 and 5,427.20

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Solution

The fourth proportional to 5,643.20, 8,455.56 and 5,427.20 is: 8,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.20 : 8,455.56 = 5,427.20 : x
  2. Step 2: Convert to fraction form
    5,643.20/8,455.56 = 5,427.20/x
  3. Step 3: Cross multiply
    5,643.20x = 8,455.56 × 5,427.20
  4. Step 4: Simplify right side
    5,643.20x = 45,890,015.23
  5. Step 5: Solve for x
    x = 45,890,015.23/5,643.20
  6. Step 6: Final answer
    x = 8,131.91

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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.