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Finding the Fourth Proportional to 5,420.78, 8,133.60 and 2,132.78

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Solution

The fourth proportional to 5,420.78, 8,133.60 and 2,132.78 is: 3,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.78 : 8,133.60 = 2,132.78 : x
  2. Step 2: Convert to fraction form
    5,420.78/8,133.60 = 2,132.78/x
  3. Step 3: Cross multiply
    5,420.78x = 8,133.60 × 2,132.78
  4. Step 4: Simplify right side
    5,420.78x = 17,347,179.41
  5. Step 5: Solve for x
    x = 17,347,179.41/5,420.78
  6. Step 6: Final answer
    x = 3,200.13

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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.