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Finding the Fourth Proportional to 4,133.61, 6,200.19 and 1,359.90

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Solution

The fourth proportional to 4,133.61, 6,200.19 and 1,359.90 is: 2,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.61 : 6,200.19 = 1,359.90 : x
  2. Step 2: Convert to fraction form
    4,133.61/6,200.19 = 1,359.90/x
  3. Step 3: Cross multiply
    4,133.61x = 6,200.19 × 1,359.90
  4. Step 4: Simplify right side
    4,133.61x = 8,431,638.38
  5. Step 5: Solve for x
    x = 8,431,638.38/4,133.61
  6. Step 6: Final answer
    x = 2,039.78

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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.