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Finding the Fourth Proportional to 4,135.60, 6,198.60 and 1,669.20

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Solution

The fourth proportional to 4,135.60, 6,198.60 and 1,669.20 is: 2,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.60 : 6,198.60 = 1,669.20 : x
  2. Step 2: Convert to fraction form
    4,135.60/6,198.60 = 1,669.20/x
  3. Step 3: Cross multiply
    4,135.60x = 6,198.60 × 1,669.20
  4. Step 4: Simplify right side
    4,135.60x = 10,346,703.12
  5. Step 5: Solve for x
    x = 10,346,703.12/4,135.60
  6. Step 6: Final answer
    x = 2,501.86

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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.