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Finding the Fourth Proportional to 5,627.67, 8,444.34 and 3,411.78

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Solution

The fourth proportional to 5,627.67, 8,444.34 and 3,411.78 is: 5,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.67 : 8,444.34 = 3,411.78 : x
  2. Step 2: Convert to fraction form
    5,627.67/8,444.34 = 3,411.78/x
  3. Step 3: Cross multiply
    5,627.67x = 8,444.34 × 3,411.78
  4. Step 4: Simplify right side
    5,627.67x = 28,810,230.33
  5. Step 5: Solve for x
    x = 28,810,230.33/5,627.67
  6. Step 6: Final answer
    x = 5,119.39

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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.