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Finding the Fourth Proportional to 3,465.33, 5,198.67 and 1,124.90

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Solution

The fourth proportional to 3,465.33, 5,198.67 and 1,124.90 is: 1,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.33 : 5,198.67 = 1,124.90 : x
  2. Step 2: Convert to fraction form
    3,465.33/5,198.67 = 1,124.90/x
  3. Step 3: Cross multiply
    3,465.33x = 5,198.67 × 1,124.90
  4. Step 4: Simplify right side
    3,465.33x = 5,847,957.89
  5. Step 5: Solve for x
    x = 5,847,957.89/3,465.33
  6. Step 6: Final answer
    x = 1,687.56

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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.