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Finding the Fourth Proportional to 5,643.28, 8,466.27 and 2,354.54

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Solution

The fourth proportional to 5,643.28, 8,466.27 and 2,354.54 is: 3,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.28 : 8,466.27 = 2,354.54 : x
  2. Step 2: Convert to fraction form
    5,643.28/8,466.27 = 2,354.54/x
  3. Step 3: Cross multiply
    5,643.28x = 8,466.27 × 2,354.54
  4. Step 4: Simplify right side
    5,643.28x = 19,934,159.59
  5. Step 5: Solve for x
    x = 19,934,159.59/5,643.28
  6. Step 6: Final answer
    x = 3,532.37

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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.