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Finding the Fourth Proportional to 5,643.21, 8,466.17 and 2,354.48

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Solution

The fourth proportional to 5,643.21, 8,466.17 and 2,354.48 is: 3,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.21 : 8,466.17 = 2,354.48 : x
  2. Step 2: Convert to fraction form
    5,643.21/8,466.17 = 2,354.48/x
  3. Step 3: Cross multiply
    5,643.21x = 8,466.17 × 2,354.48
  4. Step 4: Simplify right side
    5,643.21x = 19,933,427.94
  5. Step 5: Solve for x
    x = 19,933,427.94/5,643.21
  6. Step 6: Final answer
    x = 3,532.29

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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.