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Finding the Fourth Proportional to 3,420.45, 5,124.60 and 2,800.80

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Solution

The fourth proportional to 3,420.45, 5,124.60 and 2,800.80 is: 4,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.45 : 5,124.60 = 2,800.80 : x
  2. Step 2: Convert to fraction form
    3,420.45/5,124.60 = 2,800.80/x
  3. Step 3: Cross multiply
    3,420.45x = 5,124.60 × 2,800.80
  4. Step 4: Simplify right side
    3,420.45x = 14,352,979.68
  5. Step 5: Solve for x
    x = 14,352,979.68/3,420.45
  6. Step 6: Final answer
    x = 4,196.23

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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.