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Finding the Fourth Proportional to 5,649.22, 8,468.43 and 2,527.48

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Solution

The fourth proportional to 5,649.22, 8,468.43 and 2,527.48 is: 3,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.22 : 8,468.43 = 2,527.48 : x
  2. Step 2: Convert to fraction form
    5,649.22/8,468.43 = 2,527.48/x
  3. Step 3: Cross multiply
    5,649.22x = 8,468.43 × 2,527.48
  4. Step 4: Simplify right side
    5,649.22x = 21,403,787.46
  5. Step 5: Solve for x
    x = 21,403,787.46/5,649.22
  6. Step 6: Final answer
    x = 3,788.80

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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.